is x – 4 a factor of P(x) = x^4 - 4x^2 – 4x + 8 ? Explain.​

Answers

Answer 1

Answer:

 (x3 - 2x2 - 4) • (x + 2)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((x4) -  22x2) -  4x) -  8

STEP

2

:

Checking for a perfect cube

2.1    x4-4x2-4x-8  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x4-4x2-4x-8

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x4-8

Group 2:  -4x2-4x

Pull out from each group separately :

Group 1:   (x4-8) • (1)

Group 2:   (x+1) • (-4x)

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x4-4x2-4x-8

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -8.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,8


Related Questions

I have a recipe to make 48 cupcakes. The recipe says that I need 8 eggs . I only need to make 12 cupcakes . how many eggs will I need​

Answers

Answer:

2 eggs

Step-by-step explanation:

Use a proportion.

48 cupcakes is to 8 eggs as 12 cupcakes is to x eggs.

48/8 = 12/x

Reduce the left fraction.

6 = 12/x

Multiply both sides by x.

6x = 12

Divide both sides by 6.

x = 2

Answer: 2 eggs

100 BRAINLY POINTS!!!!!!

A cell phone company charges its customers a flat fee of $60 each month for calls and texts, plus an additional $5.00 for each gigabyte of data used. What does the y-intercept of the function represent?

A. the flat fee for calls and texts

B. the cost for each gigabyte of data used

C. the total amount of a monthly bill with 1 gigabyte of data used

D. the total amount of a monthly bill with 2 gigabytes of data used

PLS HELP CUH

EXPLAIN YOUR ANSWER
SHOW YOUR WORK

JUST HELP ME PLSSS

Answers

Flat fee=60Rate of change=5 per GB=Slope

Now

Equation in slope intercept form

y=mx+b

If each GB be x

y=5x+60

Here

yintercept=b=60

Option A is correct

GIVING BRAINLIEST AND 30 POINTS TO BEST ANSWER!! REMEMBER, FOLLOW DIRECTIONS. YOU CAN DO IT! :D

Answers

Answer:

2 3 4 5 6 7 8 9 10

Step-by-step explanation:

even odd even odd even odd even odd even odd

what is -12 divided by 3

Answers

Answer:

-4

Step-by-step explanation:

if you divide a negative number by a positive number, you will get a negative number

Answer:

-4

Step-by-step explanation:

-(4×3)/3

by crossing both 3 out

-(4) remains

18. Find the surface area of the prism.​

Answers

Step-by-step explanation:

the total surface area is the sum of the individual areas on the surface.

we have

2 triangles (top and bottom)

1 front rectangle

2 rectangles in the back

the area of a triangle is

baseline × height / 2

1.7 × 0.5 / 2 = 0.425 in²

both triangles together : 2×0.425 = 0.85 in²

the area of a rectangle is

length × width

so, the front is

1.7 × 1.5 = 2.55 in²

one back rectangle is

1 × 1.5 = 1.5 in²

both back areas are 2×1.5 = 3 in²

so, the total surface area is

0.85 + 2.55 + 3 = 6.4 in²

What are the measures of center for a data set?

Answers

Mean, Median, and Mode

Mean - Add all the numbers then divide by the number of numbers you added.

Median - The center of a set of numbers. (In a, b, c, d - b+c/2 is the median.)

Mode - The number that appears the most in a set of numbers.

They are called measures of center because they are statistics that describe the center of a set of data.

Write the polar equation 0= pi/3

Answers

Answer:

1

(

π

3

)

)

Step-by-step explanation:

Explanation:

Substitute

tan

(

y

x

)

for

θ

tan

(

y

x

)

=

π

3

Obtain

y

x

on the left by using the inverse tangent on both sides:

tan

1

(

tan

(

y

x

)

)

=

tan

1

(

π

3

)

y

x

=

tan

1

(

π

3

)

Multiply both sides by x:

y

=

(

tan

1

(

π

3

)

)

x

Use quadratic method :
6y^2 - 4y - 3=

Answers

Answer:

see explanation

Step-by-step explanation:

look at the photo

Tony is flying from Los Angeles to Boston. His plane ticket costs $605 and the total flight distance is 3,052 miles. What is the cost per mile?

Answers

Answer:

AROUND $0.20 per mile

Step-by-step explanation:

605/3052 is around 0.198, which rounds to 0.20.

pls help me with this​

Answers

Answer: A)72.8067226km/hr (final asnwer)
b) volume of a cube= a^3 (sides^3) =4.5^3= 91.125 cm^3 (final asnwer)

c) 1 day cost= $(35.9 +11.55 + 35) =$82.45
therefore for 5 days= $82.45 * (multiplied) by 5 = $412.25 (final asnwer)

Step-by-step explanation:

Answer:

(a)≈72.8 kilometer per hour

(b)91.125 cm^3

(c)272.25$

Step-by-step explanation:

(a)speed=mile/hour

=371mile/8.2hours

=371×1.609kilometers/8.2hours

≈72.8 kilometer per hour

(b)the vol: of cube= a^3 (a=side)

=(4.5)^3

=91.125cm^3

(c) for 5 days, (35.9×5)+(11.55×5)+35 ($35 is ofor one-off charge so there is no need to multiply with 5)

=272.25$

Solve 58 - 10x< 20 + 9x.
-
O A. x2
O B. Xs2
O c. xs-2
O D. x2-2

Answers

     I am not sure what you are asking by the options provided as the formatting has been messed up, but if you simplify the given equation you end up with:

x > 2

Step-by-step explanation:

Given

58 - 10x< 20 + 9x

Add 10x to both sides of the equatoin

58 < 20 + 19x

Subtract 20 from both sides of the equatoin

38 < 19x

2 < x

x > 2

The equation y=37.8xy=37.8x represents the number of miles, yy, that Julian can drive his car for every xx gallons of gas. Find the rate of change.

Answers

The rate of change of Julian given the equation y = 37.8x is 37.8

How to find the rate of change

The equation:

y = 37.8x

where,

y = number of miles that Julian can drivex = gallons of gas used37.8 = constant = rate of change

If x = 3 gallons

y = 37.8x

= 37.8 × 3

y = 113.4 miles

Learn more about rate of change:

https://brainly.com/question/8728504

An explicit rule for a sequence tells how to find an as a function of blank the first term,A1, the next term an+1,

Answers

Answer:

The correct answer is "the term number, n."

Step-by-step explanation:

Answer:

Step-by-step explanation:

on edge!! dear student... you got this.. don't procrastinate and more importantly don't doubt yourself. You CAN and WILL make it to 100%

Work out m and c for the line:
y=6 - 2

Answers

Answer:

Step-by-step explanation:

y=Mx+c

M=6 c=-2

So what are the chances of getting a 100% effort out of someone who never tries than someone who does??

Answers

Answer:

someone who doesn't try would have a lower chance of 100% effort and someone who dose try would have a much higher chance of 100% effort

Step-by-step explanation:

i hope this helps!!

solve for x and round please

Answers

Answer:

9.6

Step-by-step explanation:

6.4/x = sin42

x = 6.4/sin42

x = 9.56

The area of a rectangle is 45 m squared, and the length is 6 m less than three times the width. Find the dimensions of the rectangle.

Answers

Answer:

Step-by-step explanation:

45 minutes before 10:35

Answers

Answer:

9:50

Step-by-step explanation:

Answer:

9:50

Step-by-step explanation:

Heres de answer

Find the area. What type of triangle is triangle ABC?

Answers

Answer:

Isosceles right triangles are half squares, and if the length of one side is 6cm, that is the length of the other side since both segments are equal. Take the formula to find the area of a square (base times height), apply the side measurement of the triangle (6cm) and divide it in half to find the area of half of it (therefore, finding the area of the isosceles triangle.) (6x6) / 26x6 = 3636 / 2 = 18 The area of the isosceles triangle is 18 square centimeters.

Step-by-step explanation:

help would be appreciated

Answers

Answer:

59

Step-by-step explanation:

VUW is an isoceles triangle, therefore VUW = VWU

tirangles total to 180 so 180 - 62 =118=2VUW

118 ÷2 = 59

Henry is solving the problems 475 x 3. His first step is shown below (400 x ___) + ( 70 x ___ ) + ( 5 x ___ ) What number should Henry write in each of the blanks

Answers

Answer:

(400 × 3 ) + (70 × 3) + (5 × 3)

solve the equation 5.5g+9=2.5g+27
a. find the value of g.
b. explain how you can check that the value you found for g is correct. if your check does not work, does that your result is incorrect?

Answers

I will clarify you
5.5g+9=2.5g+27
Or, 5.5g-2.5g= 27-9
Or, 3g= 18
Or, g= 18/3
Or, g= 6



Hope it helped you.. I have no doubt that it is incorrect.

A rectangular prism has a length of 14in, a height of 9in, and a width of 5in. What is its volume, in cubic in?

Answers

Answer:

630 inches³

Step-by-step explanation:

According to the question ,

length:- 14 inchwidth :- 5 inchheight :- 9 inch

we have to find the volume of rectangular prism

Volume of rectangular prism :- l × b × h

Putting the value ,

14 × 5 × 9 cubic inches

= 630 cubic inches

Given:-

[tex]\rightarrow[/tex] Length(l) of prism = 14in.

[tex]\rightarrow[/tex] Width(w) of prism = 5in.

[tex]\rightarrow[/tex] Height(h) of prism = 9in.

To Find:-

[tex]\rightarrow[/tex] Volume of prism.

Formula Used:-

[tex]\rightarrow[/tex] Volume of rectangular prism = [tex]\sf{l×w×h}[/tex]

Solution:-

[tex]\rightarrow[/tex]Volume of prism = [tex]\sf{l×w×h}[/tex](putting the value of l, w and h from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=\:14×5×9}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{= \: 630 in^3}[/tex]

Therefore, volume of the given prism [tex]\sf{= \: 630 in^3.}[/tex]

________________________________

Hope it helps you:)

Can somebody please help me? I have dyscaluca and don't understand this

Answers

Answer:

man

Step-by-step explanation:

im sorry...you'll get it soon i swear

1. Find the slope of a line
that passes through (3,-2)
and (7,5)

Answers

5+2/7-3
=7/4 is the slope

Answer:

m= [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

[tex]m=\frac{y2-y1}{x2-x1} \\\\m=\frac{5--2}{7-3} \\m=\frac{5+2}{4}\\ m=\frac{7}{4}[/tex]

First, define what equation needs to be used. We need to use the slope formula to find the answer.

Next, we substitute the x and y values into their respective places.

Last, simplify the equation!

how much money is 1 quarter,1 dime and 1 nickle?

Answers

Answer:
40 ¢
0Step-by-step explanation: 25 + 10 + 5 = 40

answer:40

Step-by-step explanation:

a quarter is 25

a dime is 10

a nickle is 5

25+10+5=40

Question 1
Match each graph to the correct description of the number of solutions the system of equations has.

one solution

an infinite number of solutions

no solution

Answers

first graph - no solution
second graph - an infinite number of solutions
last one - one solution

A new car is purchased for $31,000 and over time its value depreciates by one half
every 6.5 years. How long, to the nearest tenth of a year, would it take for the value
of the car to be $3,800?

Answers

Using an exponential function, it is found that it would take 19.68 years for the value of the car to be $3,800.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal, after each n years.

In this problem:

The initial value is of $31,000, hence A(0) = 31000.It depreciates by one-half every 6.5 years, hence r = 0.5, n = 6.5.

Then, the equation is:

[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]

[tex]A(t) = 31000(1 - 0.5)^\frac{t}{6.5}[/tex]

[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]

The value would be of $3,800 at t for which A(t) = 3800, hence:

[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]

[tex]3800 = 31000(0.5)^\frac{t}{6.5}[/tex]

[tex](0.5)^\frac{t}{6.5} = \frac{3800}{31000}[/tex]

[tex](0.5)^\frac{t}{6.5} = 0.12258064516[/tex]

[tex]\log{(0.5)^\frac{t}{6.5}} = \log{0.12258064516}[/tex]

[tex]\frac{t}{6.5}\log{0.5} = \log{0.12258064516}[/tex]

[tex]t = 6.5\frac{\log{0.12258064516}}{\log{0.5}}[/tex]

t = 19.68.

It would take 19.68 years for the value of the car to be $3,800.

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

t≈19.7

Step-by-step explanation:

I do not have one, I apologize.

Franco has $1.95 in his pocket. His mom has three times as much in her pocket. How much money do Franco and his mom have in total?

$1.95
$5.85
$6.80
$7.80

Answers

Answer: $5.85

Step-by-step explanation:

Answer:

5.85

Step-by-step explanation:

since Franco's mok has THREE times as much in her pocket, that means we we multiple 1.95 by 3. $1.95x3=$5.85

Find the height of the building to the nearest foot in the diagram below. Show work.

Answers

Answer:

height : 150 feet

Step-by-step explanation:

[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

using tan rule:

[tex]\hookrightarrow \sf tan(62)= \dfrac{b}{80}[/tex]

[tex]\hookrightarrow \sf b = tan(62)*80[/tex]

[tex]\hookrightarrow \sf b =150.46 \ feet[/tex]

Answer:

[tex]\approx 150 \: ft[/tex]

Step-by-step explanation:

recall sohcahtoa

sin(x)=opposite/hypotenusecos(x)=adjacent/hypotenusetan(x)=opposite/adjacent

here,

The adjacent side is 80 ftx°=62°The opposite side is the height

To find:

The opposite side or the height

since we are given the value of adjacent side and need to figure out the opposite side , we will work with tan function,

So,

[tex] \tan( {62}^{ \circ} ) = \dfrac{h}{80} [/tex]

[tex] \implies \: h = 80\tan( {62}^{ \circ} ) [/tex]

using calculator,we acquire

[tex] \implies \: h \approx 150 \: ft[/tex]

hence, the height of the building is approximately 150ft

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To achieve "peace with honor" in vietnam president nixon did all of the following except:a.tried to destroy viet cong supply bases in cambodia and laosb. brought an end to the us supplying the government and army of south vietnamc.turn over more of the fighting of the war to the south vietnamese armyd.establish the dmz at the 38th parallel (4, 6) (-3, -2) Find the slope which of the following incorrectly matches an embryonic structure with its function? A crate of oranges is shoved across a grocery store floor with a force of 100 N for a distance of 1 meter. The crate travels an additional 1 meter after the shove and stops just short of the display. You can conclude: the magnitude of work done by frictional forces on the crate is 100 J the magnitude of work done by the applied force on the crate is 100 J the magnitude of the force of friction on the crate is 50 N all of the above conclusions are correct none of the above conclusions are correct PLEASE HELP ASAP! 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