Using the factor theorem, which of the following is a factor of the polynomial below?
x^3 + 12x^2 + 9x - 22
A. X-3
B. X+2
C. X+1
D. X-2

Answers

Answer 1

Answer:

B.X+2

Step-by-step explanation:

-2^3+12X-2^2+9X-2-22

-8+48-18-22

40-40=0

Answer 2

The following is a factor of the polynomial is x+2.

What is Factor theorem?

Factor theorem is a special kind of the polynomial remainder theorem that links the factors of a polynomial and its zeros.

The factor theorem removes all the known zeros from a given polynomial equation and leaves all the unknown zeros. The resultant polynomial has a lower degree in which the zeros can be easily found.

As per the factor theorem, (y – a) can be considered as a factor of the polynomial g(y) of degree n ≥ 1, if and only if g(a) = 0. Here, a is any real number. The formula of the factor theorem is g(y) = (y – a) q(y). It is important to note that all the following statements apply for any polynomial g(y):

(y – a) is a factor of g(y).g(a) = 0.The remainder becomes zero when g(y) is divided by (y – a).The solution to g(y) = 0 is a and the zero of the function g(y) is a.

Given:

f(x)=x³ + 12x² + 9x - 22

To the above equation (x + 2) is a factor of x³ + 12x² + 9x - 22.

As,

f(-2)= (-2)³ + 12(-2)² + 9(-2) - 22

f(x)= -8 + 48 -18 -22

f(x)= 40 -40

f(x) = 0

Hence, the factor of x+2

Learn more about factor theorem here:

https://brainly.com/question/26113096

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Related Questions

Write an equation that represents the number sentence.

One-third the difference between the unknown number and 6, plus one-sixth the unknown number is -1.

Answers

1/3(x-6).+ 1/6(x) = -1.

3x+2(5x-3)=7
with steps

Answers

Answer: x=1

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x+2*(5*x-3)-(7)=0

3x + 2 • (5x - 3)) - 7 = 0

Pull out like factors :

13x - 13 = 13 • (x - 1)

13 = 0

A a non-zero constant never equals zero.

Solve : x-1 = 0

Add 1 to both sides of the equation :

x = 1

Factor the following trinomial completely, or state that the trinomial is prime.
3x^2+10xy + 8y^2

Answers

Answer:

(3x + 4y)(x + 2y)

Step-by-step explanation:

3x^2+ 10xy + 8y^2

All signs are positive, so we'll only look at positive factors of 3 and 8.

3 factors into 3 and 1.

8 factors into 4 and 2, and it also factors into 8 and 1.

I like to try closer factors in value, so I'll start with 4 and 2 for 8.

Try:

(3x + 2y)(x + 4y) = 3x^2 + 12xy + 2xy + 8y^2 = 3x^2 + 14xy + 8y^2

The middle term does not work. Switch 2y and 4y and try again.

Try:

(3x + 4y)(x + 2y) = 3x^2 + 6xy + 4xy + 8y^2 = 3x^2 + 10xy + 8y^2

It works.

Answer: (3x + 4y)(x + 2y)

what is the answer for x/1.2=-7

Answers

Answer:

x = -8.4

Step-by-step explanation:

You do the inverse operations:

The inverse of division is multiplication, so:

x/1.2 = -7 (x 1.2) - multiply by 1.2

x = -8.4

X= -8.4

Explanation, to get the missing part yo go backwards and multiply -7 times 1.2 to get the -8.4 hope this helps

Adam's family went out to lunch yesterday and their meal cost $32.85 total.
If they plan to leave a 20% gratuity, how much tip should they leave?
$3.29
O $6.57
O $26:28
$39.42

Answers

Answer:

$6.57

Step-by-step explanation:

Answer:

6.57

Step-by-step explanation:

Ibai has taken 2/5 out of a barrel of beer, Ane has drawn a third. It expresses in graphic and numerical form: a) The fraction that they have drawn between the two. b) Which of them has gotten the most?

Answers

Answer:

7/15

Step-by-step explanation:

2/5 + 1/3 is the same as 2/5 + 5/15.. so we add them together to get 7/15. This can not be simplified further

To know who has gotten most I like to think in percentage terms. 2/5 is the same as 40% (2/5 is the same as 4/10 = 40/100 =40%). 1/3 is 33.33% so Ane got more

Answer:

A. 11/15 B. Ibai.

Step-by-step explanation:

First, find the Least Common Multiple, or LCM, of the denominators, which is 15. Then, multiply each denominator by the number that gets the denominator to 15, which is the LCM. Next, multiply the numerator by the same number you multiplied the denominators, which was 3 for Ibai, and 5 for Ane. Finally, compare the two numbers to see which is higher. In this case, Ibai took out 6/15, while Ane took out 5/15, meaning Ibai took out more than Ane. Also, together, Ibai and Ane both drew out 11/15 together.

Which of the following functions is graphed below?​

Answers

Answer:

the answer is b

Step-by-step explanation:

hope this helps love:) i'm doing this rn in algebra..it's a pain!

Compare linear
functions using______ and graphs.

Answers

Fractions. Is your answers

look at the picture
thx guys

Answers

Dang that’s a cool picture =)
What grade level is this?

factorize: (2a+b)^3+(a+2b)^3​

Answers

Answer:

9(a+b) x (a²+ab+b²)

Step-by-step explanation:

expand the brackets collect like terms remove the brackets collect like terms factorise reorder the terms multiply

Which symbol correctly compares the fractions?

−5/6 −13/15

a. >

b. <

c. =

Answers

a. > because if set them to have an equal denominator the fractions would be -25/30 and -26/30 and -25/30 is greater then -26/30 because it is less negative

From both percentages, we can see that -83.3% is greater than -86.67%, hence, −5/6 > −13/15

For us to compare negative fractions, we must know that higher negative fractions are less than the smaller ones

Given the fractions  −5/6 and −13/15

First we will need to write this fractions as percentage:

-5/6 * 100 = -500/6 = -83.3%

-13/15 * 100 = -1300/15 = -86.67%

From both percentages, we can see that -83.3% is greater than -86.67%, hence, −5/6 > −13/15

Learn more here: https://brainly.com/question/24191335

Help meeeeeeeeeeeeeeeeeeeeeee !!!!!

Answers

Answer:

i think it is the 2nd one and the 5th one.

Step-by-step explanation:

hope this helped!

p.s it would be cool if you gave me brainliest

Find the product... Please and thank you.
(x+7) (x+5)

Answers

Answer:

x+12x+35

Step-by-step explanation:

use the FOIL method!

Use the figure to find measures of the numbered angles.

Answers

Answer:

1 = 137

2 = 43

3 = 43

4 = 137

Step-by-step explanation:

for the first line, do (180-137 = 43)

then, 43 would be corresponding angle to 2 - making them equal

2 would be vertically opposite to 3, making them equal

137 and 1 are corresponding- making them equal

4 is vertically opposite to 1 - making them equal

Angle 1 = 137 degrees
Angle 2 = 43 degrees
Angle 3 = 43 degrees
Angle 4 = 137 degrees

help please i’m stuck on this question and i’m really confused please help someone

Answers

Answer:

m 1= 113 i think :)

Step-by-step explanation:

180 - 67

Answer:

it should total 180 degrees

so 160-67 is 113



If x = 35°, which two lines can be proven parallel?
A) n and d
B) I and m
C) m and o
D n and o

Answers

Answer:

n and o

Step-by-step explanation:

Because those 35 and x are corresponding angles and they are lying on line n and o.

Hope this helped!

N and o hope this helps

Mr.winstons class worked in 3 groups 1/4 of the students read 5/8 of the students worked with mr.winston the remainder of the class worked on a project what part of the class worked on a project
A. 9/8
B.5/8
C./8
D.1/8
Will give brainliest

Answers

The answer is 1/8. When we take out the LCM and and make the denominators same we get the answer.

Answer:1/8(D)

Stepplease mark me as the brainliest

Sebastian scored a 94% on a test. Frankie answered 43 questions correctly out of 50 total questions. Who scored higher on the test?

Answers

Answer:

Sebastian did.

Step-by-step explanation:

seb = 94% or 47/50

while frankie = 43/50 or 86%

Also look at 50 if you want and you can see it divides evenly with 100. Basically each mistake you make is 2 percent lost.

Answer: Sebastian

Step-by-step explanation: Divide 43 by 50.

43/50=0.86

tests are graded by the decimal point so he got 86%

since 94% is more than 86% sebastian scored higher

Find the product of 9 and 748

Answers

Answer:

6741

Step-by-step explanation:

what is the value of x in the expression 2(6x + 4) - 6 + 2x = 3(4x + 3) + 1
a. 1
b. 3
c. 4
d. 6​

Answers

Answer:

b.

Step-by-step explanation:

2(6x + 4) - 6 + 2x = 3(4x+3) + 1
12x + 8 - 6 + 2x = 12x + 9 +1
14x + 2 = 12x +10
2x = 8
x = 4

Option c. Is the answer

Can some plz answer this and give explanation? :) How many unit cubes are required to create a larger cube with edge length of 3 units?

Answers

Answer: is this what your looking for "A large cube with edge of length 3 units is built from 6 small blue unit cubes and 21 small white unit cubes"

Step-by-step explanation:

Solve the problem please

Answers

Answer:

The correct answer would be 3x/5y

Step-by-step explanation:

You are substracting, and the denominator is the same for both 5x/5y and 2x/5y, so it will remain the same (5y). This only leaves you needing to substract 5x-2x, which equals 3.

5x/5y-2x/5y= 3x/5y

Simplifying Difference of Rational Expressions

Step-by-step explanation:

[tex]\frac{5x}{5y}-\frac{2x}{5y}\\ \frac{5x -2x}{5y}\\ \frac{(5-2)x}{5y} \\ \frac{3x}{5y}[/tex]

Answer:

[tex]\frac{3x}{5y} \\[/tex]

what is the distance of the line segment between the endpoints (-6,5),(4,-5)​

Answers

The distance between two points is given by
Root of (x2 - x1) squared + (y2 - y1) squared
= root of (10 squared )+( -10 squared )
= root of 100 + 100
= root of 200

How many x-intercepts and y-intercepts can a linear function have?

Answers

A linear function can only have one x-intercept and one y-intercept.

can anyone help me get 4 brainliest plz

Answers

ok i will just friend me but as long as you mark this the brainlest :)

Ok, sure I will just ask as many questions.

An end behavior model for f(x) = (shown in attachment) is g(x) =​

Answers

Answer:

2x^4

Step-by-step explanation:

As the magnitude of x gets larger, the absolute value of x gets large

The higher degree terms are going to grow much faster than the lower degree terms, so that is what we need to focus on

The highest degree terms here in the numerator and denominator are 8x^6 and 4x^2, so let's divide the two, and simplify to get our solution;

f(x) = (8x^6) / (4x^2)

= 2x^6 / x^2 = 2x^(6 - 2)

= 2x^4 (solution)

7x(2+5) solve
A.14x+5
B49x

PLS help

Answers

Answer:

B. 49x

Step-by-step explanation:

hope this helped!!

The answer is B. 49x.

7x(2 + 5)
14x + 35x
= 49x

WILL GIVE BRAINLIEST: If a = 6 and b =2, then what does a^8 equal?

Answers

give brainlest please i will do anything the answer is 48

Answer:

1679616

Step-by-step explanation

Can someone help me on this problem please (picture above)

Answers

Answer:

the value of a is 2.

Step-by-step explanation:

3a - 2 + 5a + 3 + 6a + 1 = 30

14a + 2 = 30

14a = 28

a = 2

Printing Brochures The trade show is less than three weeks away. Your manager wants to be sure you have plenty of color brochures in time for the show. She said there will be nearly 4100 attendees, and that the brochures should cost no more than $1900. You were told to call Sofia for help ordering the brochures.

Step 1: Understand the Problem
What do you know?
11. List three criteria for the print order that you know are important to your manager. (6 points: 2 points for each piece of information)

Answers

Answer:

1. No extra fees unless we need out order sooner (2 weeks for an extra $50)

2 .orders of 1000 or more are 40 cents a piece orders of fewer thank 1000 are 60 cents a piece

3. The brochure will arrive in three weeks so we need to pay an extra $50 to get them before the show

Step-by-step explanation:

I’ve done this already but if you need me to explain lmk:)

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