Find the zeros of this polynomial:
p(x)= (x²+4x+3)(x²-4)
Answers
====================================================
Explanation:
Set each factor equal to zero and solve for x. I'm using the zero product property which says A*B = 0 leads to either A = 0 or B = 0.
Let's apply that idea to the first factor.
x^2+4x+3 = 0
(x+1)(x+3) = 0
x+1 = 0 or x+3 = 0
x = -1 or x = -3 are two roots
-------------
Do the same for the other factor as well.
x^2 - 4 = 0
(x-2)(x+2) = 0 .... difference of squares rule
x-2 = 0 or x+2 = 0
x = 2 or x = -2 are another two roots
--------------
In total, the four roots are:
x = -3x = -2x = -1x = 2Side note: The term "root" is the same as the zeros of a polynomial. Visually, this corresponds to the x intercepts. Plugging any of those four items into p(x) will lead to p(x) = 0.
Related Questions
In a bar graph space between rectangles is always
Answers
Answer:
the same
Step-by-step explanation:
Not as histograms where space must equal 0 as calculating area is needed.
What is the area of the following circle? Use 3.14 for pi and enter your
answer as a decimal.
p=7
units2
Answers
what figure is a rotation of figure
Answers
Answer:
b
Step-by-step explanation:
what grade?
5/6+1/4 these are fractions
Answers
multiply the denominators and numerators in order for equation to have the same denominators to help solve.
20/24 + 6/24
= 26/24
= 13/12
Hope you find this helpful!
Brainliest and a like is much appreciated!
2) If it rains 4 inches in 1 hour, how long will it rain in 12 hours?
Please help this is due tomorrow
Answers
Answer:
It will rain 48 inches in 12 hours.
Step-by-step explanation:
If for every hour it rains 4 inches, then to find how many inches it rained in 12 hours you just need to multiply the amount of hours by 4: 12 x 4 = 48
PLZ mark brainliest if I helped
To find the distance across a river, a forester sets up stakes at A, B,C and D so that
stakes D and B are in line with a larger tree T, on the opposite bank. Calculate the
width of the river using the measurements given. (Upload a Picture of your solution)
Answers
Answer:
75m
Step-by-step explanation:
They are similar triangles: they have two corresponding angles: in a triangle with an angle of 90°, the other two will be of 45°.
Now that we know they are similar, we can calculate the ratio of the sides, by doing 10/2=5
We want to know the side AT, so we can do that by multiplying DC for 5:
DC = 15 × 5 = 75m
You can also check this by applying Pythagoras' Theorem:
DB =
[tex] \sqrt{15^{2} + 2^{2} } [/tex]
Which equals 15.1 m
The hypotenuse of the other triangle is 15.1 × 5 = 75.5 m
Finally, we can apply for the last time the Pythagoras' Theorem to find AT:
[tex] \sqrt{75.5^{2} - 10 {}^{2} } [/tex]
Which equals 74.8 = 75 m
What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1
Answers
Answer:
x > -1
Step-by-step explanation:
-10 < x - 9 add 9 to both sides of the inequation
9 + (-10) < x - 9 + 9 minus 9 will eliminate the positive 9 on the right side of the inequation therefore the answer is:
-1 < x and x > -1
Felipe swam 29 kilometers to an island. Then he swam 19 kilometers to a boat. How far did he swim in all?
Answers
48 kilometers
29 + 19 = 48
hope this is helpful!
Convert 45 mi/hr to feet per minute
Answers
Answer:
3960
Step-by-step explanation:
multiply 45 by the amount of feet in a mile (5280)
take that answer and divide in by how many minutes are in an hour
Solve 5,964 ÷ 7 = ________. Use an area model to help you.
Answers
Answer:
The answer is 852 I think. Please tell me if this is correct.
Step-by-step explanation:
Fd meaning in microsift
Answers
Answer:
FD = Forced Deal
It is verified whenever you divide by 0 on a Enigma from 1942.
Answer:
/Fd (Program Database File Name) | Microsoft Docs. Documentation. Shows. Events.
Step-by-step explanation:
Decide whether each set of side lengths could form a valid triangle: (6,8,9), (3,8,5), (4,9,14).
Answers
2) no
3) no
Explanation: try to draw the last two its impossible. The only reason why the first one is a yes is because you could only make a side SLIGHTLY bigger.
Which equation has a solution of 34 for y?
Select all the correct answers.
A.8y=9
B.y−1=−14
C.4y=6
D.7−y=614
E.12y=9
F.214+y=4
Answers
Answer:
The answer is I don't know
52,259 divided by 215 with remainder
Answers
Step-by-step explanation:
Hope it will help you...
If the mean of a data set is 100 and almost all the data is from 40 to 160, what is a good approximation of the variance?
A) 120
B) 20
C) 900
D) 400
E) none of the above
Answers
The variance is the range of a data set, which shows how spread out numbers are. To get the variance, we take the last number and subtract it from the first number. 160-40=120. Therefore, there is 120 numbers between 40 to 160.
what is 0.75 greater than 9
Answers
Answer: 9.75
Step-by-step explanation: i just added
Answer:
less
Step-by-step explanation:
Which of the following statements is true?
The range is the set of all input values and is the independent variable.
The domain is the dependent variable and is determined by the range.
The independent variable varies as the dependent variable varies
The independent variable is the input value
Answers
Answer:
TRUE
TRUE
FALSE
FALSE
TRUE
Answer:
first one is true
Step-by-step explanation:
Help me with this one please
Answers
(also sorry if it’s a little confusing with all the parentheses, i use them because it helps me organize everything)
21. (4x-9y) + (6x+10) + (8y-4)
= 4x + 6x - 9y + 8y + 10 - 4
= 10x - y + 6
—> D
22. (6x+9y-15) + (2x-9y+8)
= 6x + 2x + 9y - 9y - 15 + 8 (the 9y - 9y = 0, so you can leave it out of the final equation)
= 8x - 7
—> D
23. (9x^2-8x+3) - (5x^2-6x+4)
= 9x^2 - 8x + 3 - 5x^2 -(-6x) - 4
= 9x^2 - 5x^2 - 8x + 6x + 3 - 4 (remember that two - signs next to each other make a + sign)
= 4x^2 - 2x - 1
—> A
24. (9x^3-7x+8) - (5x^2+7x-10)
= 9x^3 - 7x + 8 - 5x^2 - 7x -(-10)
= 9x^3 - 5x^2 - 7x - 7x + 8 + 10
= 9x^3 - 5x^2 - 14x + 18
—> D
25. (6x+14y) - ((7x+5y) + (x-8y))
= (6x+14y) - (7x + x + 5y - 8y)
= (6x+14y) - (8x-3y)
= 6x + 14y - 8x -(-3y)
= 6x - 8x + 14y + 3y
= -2x + 17y
—> B
(2x²+6x-3)+(3x²-8x-6)
Answers
[tex](2x^2+6x-3)+(3x^2-8x-6)\\\\=2x^2+3x^2+6x-8x -6 -3\\\\=5x^2-2x-9[/tex]
Answer:
3x + 1
——————
2x
Step-by-step explanation:
https://www.tiger-algebra.com/drill/(3x~2-8x-3)/(2x~2-6x)/
it will give you the step by srep explaation
KEEP GETTING BOTTED! Work out. the area of a circle of radius 7cm. Give your answer in terms of pi
Step-By-Step would be appreciated!
Answers
Answer:
49π cm²
Step-by-step explanation:
[tex]A=\pi r^2[/tex]
[tex]A=\pi (7)^2[/tex]
[tex]A=49\pi[/tex]
Therefore, the area of a circle of radius 7 is 49π cm²
Hello there! :-)
The formula for calculating the area of a circle is
A=πr²
A=π(7)²
Notice that only the radius is squared.
A=π(49)
A=154 cm
Hope this helps!
Use the comment section to clarify your doubts.
Answered by
~A teen who helps others with joy and listens to her favourite music
#LetItSnow
Good luck with your studies. :-)
What is the equation of the line that has a slope of 1/5 and a y-intercept of -1
A y = 1/5x — 23/5
B y = 1/5x — 1
C y = 1/5x + 1
D y = 1/5x + 23/5
Answers
Answer:
C y = 1/5x - 1
Step-by-step explanation:
Slope intercept form: y = mx + b where m = slope and b = y-intercept.
Substitute into the slope intercept form m= 1/5 and b = -1
y = 1/5x - 1
Solve for w.
-3(-8w+1) -w=5(w-1)-1
Simplify your answer as much as possible.
W =
Answers
Answer:
W = - 6
Step-by-step explanation:
-3(-8w+1) - w = 5(w-1) - 1 -> (Original equation)
24w - 3 - w = 5w - 5 - 1 -> (Expanded version)
23w - 3 = 5w - 6 -> (Simplified version)
18w - 3 = - 6 -> (Subtract 5w from both sides)
18w = - 3 -> (Add 3 to both sides)
w = 18/-3 which is - 6 -> (Doing 18/-3)
what is 5.56 s divided by 6.42 S
Answers
Answer:
0.86
step by step explain:
first you want to get a calculator and you want to put in 5.56 divide 6.42
Answer:
= 0.866
Step-by-step explanation:
By moving the decimal point two places to the right, you can convert the divisor 6.42 to a whole number. Then, in the dividend, move the decimal point two places to the right.
Then we have the equation: 556 ÷ 642 = 0.866
and therefore: 5.56 ÷ 6.42 = 0.866
both calculated to three decimal places.
Equation:
The actual equation is attached below as an attachment.
Message:
Hope this helps! I am not the best at math, so sorry if I got it wrong.
Х
0
1
9
5
29
Y
4
What is the slope of the line?
A 3
B 2
C 5
U UN W
D
Answers
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (5, 29) ← 2 ordered pairs from the table
m = [tex]\frac{29-4}{5-0}[/tex] = [tex]\frac{25}{5}[/tex] = 5 → C
pls help on my maths
Answers
Answer:
X=((2q+5p)/3)^1/2
This is how x has to be subjected
Step-by-step explanation:
Please Brainlist
Answer:
[tex]x[/tex] = √2q + 5p / 3
Step-by-step explanation:
3[tex]x^{2}[/tex] = 2q + 5p
[tex]x^{2}[/tex] = 2q + 5p / 3
[tex]x[/tex] = √2q + 5p / 3
Does any one mind helping me on this question I have struggle solving it
Answers
-1=0
0.5=4.5
3=3.1
this is the answer
There are 4 consecutive EVEN integers that have a sum of 268. What are the integers?
Answers
64 + 66 + 68 + 70
hope this helps!
Find the area of the shape shown below.
Answers
Answer:
14 sq units
Step-by-step explanation:
square - 4
triangle - 4
secong triangle - 6
4+4+6 = 14 sq units
Answer:
A = 10 sq. units
Step-by-step explanation:
Area of a trapezium is the average of the bases times the height.
Base 1 is 8 units
Base 2 is two units
Average is (8 + 2)/2 = 5 units
A = 5(2) = 10 sq. units
Guys this is the last question for the day please help me out.
Answers
Answer:
So it's 350 - D - B.
And 350 - A - D.
Hope that helped?
As shown in the illustration, Alexa had a negative balance in her checkdng account before depositing a $47.00 check. What is the new balance of Alexa's checking account?
Answers
Answer:jjjjjjjjjjjjjjjjjjjj
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jjjjjjjj
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