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Factor using polynomial division
The polynomial p(x) = x3 + 7x2 – 36 has a known factor of (x + 3).
Rewrite p(x) as a product of linear factors.
p(x)=
Answers
Answer:
p(x) as a product of linear factors. [tex]p(x)=(x+3)(x-2)(x+6)[/tex]
Step-by-step explanation:
(x+3) is the factor of polynomial [tex]p(x) = x^3 + 7x^2 - 36[/tex]
So, we can divide [tex]p(x) = x^3 + 7x^2 - 36[/tex] by (x+3) to find other factors
The division is shown in figure attached.
The quotient is: x^2+4x-12
Now factoring the quotient to find linear factors
[tex]x^2+4x-12\\=x^2+6x-2x-12\\=x(x+6)-2(x+6)\\=(x-2)(x+6)[/tex]
The factors are [tex](x+3)(x-2)(x+6)[/tex]
So, p(x) as a product of linear factors. [tex]p(x)=(x+3)(x-2)(x+6)[/tex]
Related Questions
5.03)
Factor x2 - 4x + 5. (4 points)
Answers
Answer:
(x + 5) (x - 1)
Write the expression below as a product of two factors.
6 + 8 + 4
Answers
Answer: Factor out the GCF of 6, 8, and 4: 2
2(3m + 4n + 2)
It Is generally believed that electrical problems affect about 14% of new cars. An automobile mechanic conducts diagnostic tests on 128 new cars on the lot. A. Describe the sampling distribution for the sample proportion by naming the model and telling its mean and standard deviation. Justify Your Answer. B. Sketch and clearly label the model. C. What is the probability that in this group over 18% of the new cars will be found to have electrical problems?
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Answer:
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Step-by-step explanation:
primero me das la corona y te lo digo sii
How can 20 × 15 help you find 19 × 15?
Answers
Answer:
Step-by-step explanation:
You find the answer of 20 x 15 and subtract 15.
Answer:You find the answer of 20 x 15 and subtract 15.
Step-by-step explanation:
60 POINTS PLEASE HURRY!!
Rashid solved a fraction division problem using the rule “multiply by the reciprocal.” His work is shown below.
3/4 divided by 9
3/4 x 1/9 = 3/36 or1/2
Which is the most accurate description of Rashid’s work?
A. Rashid solved the problem correctly.
B. Rashid multiplied the dividend by the divisor instead of finding the reciprocal.
C. Rashid multiplied the denominators instead of finding a common denominator.
D. Rashid multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Answers
Answer:
D is the awnser because he flipped the wrong fraction
Given the equation 3x + 4y = 10, select a second equation that would create a system with no solutions.
3x + 4y = -10
3x - 4y = 10
3x + 4y = 10
3.x - 4y = -10
Answers
Answer:
3x + 4y = -10
Step-by-step explanation:
Here, we want to select which of the options will give a system of two equations coupled with the first such that we have no solutions
Since we already have 3x + 4y = 10
The equation that will give a system leading to no solutions will be a system that equates the exact sum of 3x + 4y to another value
Mathematically, that will be;
3x + 4y = -10
Why can any two opposite faces of a rectangular prism be called the bases
Answers
Answer:
Step-by-step explanation:
The properties of prisms are similar for every kind of prism with each one defined by the shape that makes up the base of the prism. Any polygon can be the base of a prism.
A rectangular prism is a three-dimensional solid with several properties relating to its shape, volume and surface area. Rectangular prisms, in particular, are one of the most fundamental and common shapes in three-dimensional geometry and are also used in fields such as carpentry and graphic design.
Prism: Math Definition
A prism is a type of three dimensional polyhedron. It has two "bases" that are parallel to each other. These bases are the same type of polygon. The other faces (aka the "sides") of the prism are parallelograms (this is true no matter what shape the bases are).
Hope this helps ✌️
Any two opposite faces of a rectangular prism be called the bases because rectangular prism is formed with 6 pairs of parallel faces.
What is a rectangular prism?A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.
One of the three-dimensional shapes that can be created with six pairs of parallel faces is a rectangular prism. Three-dimensional shapes in this category include cubes and cuboids. Prisms come in a variety of forms depending on the base.
Hence, any two opposite faces of a rectangular prism be called the bases because rectangular prism is formed with 6 pairs of parallel faces.
To learn more about the rectangular prism visit:
https://brainly.com/question/27812749.
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I want to know this question
Answers
The angle bisectors of triangle XYZ meet at point P. What is PJ?
Answers
=======================================================
Explanation:
Segment PJ is perpendicular to segment YZ
So triangle PJZ is a right triangle with the known leg ZJ = 12, unknown leg PJ = x, and known hypotenuse PZ = 20.
Let's say a = 12, b = x, c = 20.
Use the Pythagorean theorem to find x
a^2 + b^2 = c^2
12^2 + x^2 = 20^2
144 + x^2 = 400
x^2 = 400-144
x^2 = 256
x = sqrt(256)
x = 16
Therefore segment PJ is 16 units long.
Side note: the angle bisectors won't always form 90 degree angles with the opposite sides. These angle bisectors are also altitude lines because of the 90 degree angles that form.
Need HELP RUNNING OUT OF TIMe :)
Find the number.
the sum of the reversed number and the original number is 154. Find the original number, if the ones digit in it is 2 less than the tens digit.
Answers
Answer:
86
Step-by-step explanation:
Let the number be 10x + y. So, the reversed number is 10y + x.
The sum is 154.
So, (10x + y) + (10y + x) = 154
⇒ 11x + 11y = 154
⇒ x + y = 14 ..... (1)
Again, given that ones digit in the original number is 2 less than the tens digit.
So, y = x - 2 ...... (2)
Now, solving (1) and (2) we get,
x + x -2 = 14
⇒ 2x = 16
⇒ x = 8
So, from equation (2), y = x - 2 = 8 - 2 = 6
Therefore, the original number is 10x + y = 10 × 8 + 6 = 86 (Answer)
+ 14. "-4 less than a number is 17."
Answers
Answer:
-4 < x = 17
Step-by-step explanation:
-4 less than a number is 17
less than = <
a number = unknown # ( x )
is = equal sign ( = )
Put all of it together and "BAM" there's your answer!
If you multiply or divide both sides of an inequality by a negative number, you must __________ the inequality sign.
Answers
Answer:
Step-by-step explanation:
flip
If the present value of my investment is 2,500 and the rate of interest is 2% p.a compounded semi-annually,what will be the value be after 15years
Answers
Answer:
3,364$
Step-by-step explanation:
Plz help. Write the slope intercept form of the equation.
Answers
Answer:
y = - 1.5x - 5 or y = - 3/2x - 5
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
1 = - 3/2 ( - 4 ) + b Equation
Step 3:
1 = 6 + b Multiply
Step 4:
b = - 5 Subtract 6 on both sides
Answer:
y = - 1.5x - 5
Hope This Helps :)
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Use the tape diagram to find the ratio.
Mr. Morris' art class used blue paint and purple paint for a school mural. Find the ratio of blue paint to the total. Write the ratio using a colon and no spaces.
Answers
Answer:
5:11
Step-by-step explanation:
Answer:
5/11
Step-by-step explanation:
Let z = 3(cos(15°) + i sin(15°)) and w = 5(cos(90°) + i sin(90°)). What best describes the geometric construction of the quotient z/w on the complex plane?
Answers
Answer:
A. z is scaled by a factor of One-fifth and rotated 90 degrees clockwise.
Step-by-step explanation:
Answer:
The Answer is A
Step-by-step explanation:
z is scaled by a factor of One-fifth and rotated 90 degrees clockwise
Plz help me with this
Answers
Hope this helps.
Need help with this.
Answers
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Let t as y² + 5y .
[tex] {y}^{2} + 5y = t[/tex]
Rewrite the equation :
[tex]t - \frac{36}{t} = 0 \\ [/tex]
Multiply sides by t
[tex]t \times (t - \frac{36}{t} ) = t \times 0 \\ [/tex]
[tex] {t}^{2} - 36 = 0[/tex]
Add sides 36
[tex] {t}^{2} - 36 + 36 = 0 + 36[/tex]
[tex] {t}^{2} = 36[/tex]
[tex]t = ± \: 6[/tex]
_________________________________
So :
[tex] {y}^{2} + 5y = 6[/tex]
Subtract sides 6
[tex] {y}^{2} + 5y - 6 = 6 - 6[/tex]
[tex] {y}^{2} + 5y - 6 = 0[/tex]
[tex](y + 6)(y - 1) = 0[/tex]
[tex]y = - 6 \: \: or \: \: y = 1[/tex]
##############################
[tex] {y}^{2} +5y = - 6[/tex]
[tex]No \: \: solution[/tex]
_________________________________
Thus (( y = 1 )) and (( y = - 6 )) are the roots of the equation .
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If Misty has been traveling for 9 hours, how many miles of the trip does she have remaining?
Answers
Answer:
Distance remaining (out of total 81 miles) after travelling 9 hours at speed 3 miles per hour = 54 miles
Step-by-step explanation:
Lets suppose -
Time = 9 hours
Total Distance = 81 miles
Speed = 3 miles per hour
Distance = Speed x TimeDistance covered in 9 hours = 3 x 9 = 27 miles
Distance remaining = Total distance - distance covered= 81 - 27 = 54 miles
A restaurant offerd cooking classes on 24 of the 30 days in november. what Decimal is equivalent to the fraction of days in november that classes were offered at the restaurant
Answers
Answer: .8
How?
24 : 30 = 4/5
4/5 = .8
62x(70+8) in word form
Answers
Answer: sixty-two x times in parentheses seventy plus eight
Find the cosine of R.
Write your answer in simplified, rationalized form. Do not round.
cos(R) =
Answers
Answer:
[tex] cos(R) = \frac{\sqrt{15}}{5} [/tex]
Step-by-step explanation:
To find the cosine of <R, apply the following trigonometric ratio formula:
[tex] cos(R) = \frac{adjacent}{hypotenuse} [/tex]
Adjacent = 3
Hypotenuse = √15
Plug in the values into the formula
[tex] cos(R) = \frac{3}{\sqrt{15}} [/tex]
Multiply the numerator and denominator by √15 to rationalize.
[tex] cos(R) = \frac{3 \times \sqrt{15}}{\sqrt{15} \times \sqrt{15}} [/tex]
[tex] cos(R) = \frac{3\sqrt{15}}{(\sqrt{15})^2} [/tex]
[tex] cos(R) = \frac{3\sqrt{15}}{15} [/tex]
[tex] cos(R) = \frac{\sqrt{15}}{5} [/tex]
Find the product. Simplify before multiplying.
1/15 x 5/8
Answers
Answer:
0.04166
Step-by-step explanation:
As you cant simplify further, the answer would be 0.04166. 1/15 x 5/8
Answer:
simplyfy : 1/24
Multiply: 1/24
Step-by-step explanation:
decimal: 0.0416...
:)
Solve the system:
5x+2y = 3
2x + 3y = -1
Answers
Answer:
x= 1 y= -1
Step-by-step explanation:
Pick an equation to isloate x or y
5x+2y=3 becomes x=-2y+3/5
Subsitute that into second equation : 2(-2y+3y/5) + 3y=-1
Example and simplify.
Do the same to find x variable
8th GRADE MATH #7 On its first visit to the vet, Emma’s Kitten weighed 30 ounces. On its second visit, the kitten had gained 8 ounces. On its third visit, the kitten had gained another 6 ounces. What is the percent increase, rounded to the nearest percent, of the kitten’s weight since its first visit? *
Answers
Answer:
14.6 % increase
Step-by-step explanation:
44 divided by 30 = 1.46
To decimal = 14.6 percent
I think
I need the answer for 'j" 2j + 5 = 3 + 2j + 2
Answers
Answer:
15gm
Step-by-step explanation:
because 5x3 is 15
In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points.
Translate the scenario.
Team A =
Team B =
Team C =
The equation representing this scenario is
.
Answers
Answer:
Team A = 449
Team B = 227
Team C = 307
Equation is
(2b-5) + b + (b+80) = 983
simplyfying
4b+75 = 983
Step-by-step explanation:
Take 4b+75 = 983
b = (983 - 75)/4 = 227
now
Team A = 5 less than twice as many as team B = 2b - 5 = 2 *227-5 = 454-5= = 449
Team B = b = 227
Team C = 80 more than team B = b+80 = 227+80 = 307
or you can just subtract 983 - (Team A +Team B)
Answer:
Team A = 449
Team B = 227
Team C = 307
Equation is
(2b-5) + b + (b+80) = 983
simplyfying
4b+75 = 983
Step-by-step explanation:
the other persons answer
1. Which relationship describes 2:5
a. The ratio of desks to chairs if there are 5 chairs and 2 desk
b. The ratio of boys to girls if there are 2 girls and 5 boys
c. The ratio of girls to boys if there are 2 girls and 5 boys
d. The ratio of chairs to desk if there are 5 chairs and 2 desk
Answers
Answer:
c
Step-by-step explanation:
it is c because it said girls to boys, then explained girls to boys, while b was out of order. a and d said 5 first, contrary to the original question
Answer:
C because all the other options are from boys to girls or 5 to 2 and were looking for girls to boys or 2 to 5.
Step-by-step explanation:
What is the decimal value of x in the equation 7x − 2 = 5x + 3?
Answers
Answer:
x= 2.5
Step-by-step explanation:
7x-5x = 2x
2x-2 = 3
3 + 2 = 5
2x=5
5/2 = 2.5
Answer: 5/2 or 2.5
Step-by-step explanation:
So first you add 2 to -2( crossing it out) and add 2 to 3. Then you simplify giving you the equation of 7x=5x+5.
Then subtract 5x from 7x and 5 giving you the equation of 2x=5.
Ounce done divide your equation by 2, giving you the answer if 5/2 or 2.5.
Find the slope between (8, 3) and (-5, 3)
Answers
Answer:
slope=0 (horizontal line)
Step-by-step explanation:
A way to remember this is if you went skiing on a horizontal line you would have 0 fun.
= 0
Explanation:
Given point: (8,3) and (-5,3)
To find the slope:
Slope: y1-y2/x1-x2
So, 3-3/8-(-5) = 0