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

I'm having a hard time understanding this​

Answers

your answer is angle DHG.

Answer:

Angle DHG

Step-by-step explanation:

The graph of a system of linear equations is shown.
What is the solution of the system?
A. (3,-2)
B. (-2.5,3.5)
C. (3.5,-2.5)
D. (4,-2)

Answers

C

Because I did it on edg

whats the answer 3 x + 7 = 19

Answers

Answer:

Step-by-step explanation:

3x +7 =19

3x=19 - 7

3x=12

x=12 :3

x=4

Answer:x=4Step-by-step explanation:3x+7=193x=19-73x=12x=12/3x=4plz mark me as brainilist

(b) About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work! NEED ANSWER ASAP WILL DO BRAINLEIST AND ITS 30 POINTS!!!
Columbus, Ohio:8.25x 10^5

The United States: 3.2*10^8

Answers

Answer:

Omg this is the third time i answered this question, The United States is 387.87 times larger than Columbus, Ohio.

Step-by-step explanation:

8.25 times 100000 = 825,000

3.2 times 100000000 = 320,000,000

320,000,000 divided by 825,000 = 387.87

holly earns 30 babysitting 5hours she earns 28 dollars when she does chores 4 hours witch compares the unit rates ​

Answers

Answer:

c

Step-by-step explanation:

help
I don't understand​

Answers

Answer: The answer is 40

Step-by-step explanation: If you use the formula to find the area of a triangle(A=Bh/2) and plug the number in like so(A=8 * 10) you would get 80 then you would divide the 80 by 2 and get 40

Simplify this radical.
84

O 2/21
O 2742
4v21
O 4/42

Answers

[tex] \sqrt{84} = 2 \sqrt{21} [/tex]

Thus the first one is the correct answer...

Done.....♥️♥️♥️♥️♥️

after creating a ratio table if each ratio was simplified will you get the same answer for each?plz help 30 points

Answers

Answer:

no that is just impossible to get the same for each

Step-by-step explanation:

Jonathan looked at the picture frame below, and computed the following sum, 8 3/4 + (-4) what value did he find?
A. x
B. 2y
C. y
D. 2x

Answers

Answer:

d 2x

Step-by-step explanation:

An isosceles triangle has a vertex angle who measures 68 degrees. What is the measure of a base angle?

Answers

each base angle would be 56 degrees

Find m∠1 and m∠2. Tell which theorem can be used.

Answers

Answer:

m<1=117° by the Vertical Angles Congruence Theorem.

m<2=117° by the Alternate Exterior Angles Theorem.

Step-by-step explanation:

Vertical Angles Congruence Theorem- if two angles are vertical angles, then they are congruent.

Alternate Exterior Angles Theorem- when two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

I hope this helps you out!! Have an amazing day :)

From the given diagram

m∠1 = 117° (Vertically opposite angles)

m∠2 = 117° (Corresponding angles)

In the diagram, we have two parallel lines and a transversal intersecting the two lines.

From one of the theorems, when two lines intersect, the opposite angles are equal. This is the vertically opposite angles theorem

In the diagram, angle 1 is opposite to the angle that measures 117°

∴ m∠1 = 117° (Vertically opposite angles)

Corresponding angles are found at different intersections but on the same side of each parallel line and the same side of the transversal line.

In the diagram, angle 1 and angle 2 are found at different intersections and on the same side of each of the parallel lines as well as on the same side of the transversal line. Therefore, they are corresponding angles.

From one of the theorems, corresponding angles are equal. That means angle 1 is equal to angle 2

Since, m∠1 = 117°

∴ m∠2 = 117° (Corresponding angles)

Hence, from the diagram

m∠1 = 117° (Vertically opposite angles)

m∠2 = 117° (Corresponding angles)

Learn more here: https://brainly.com/question/16966545

what type of slope does 3,5 and -1,2 have?

Answers

Answer:

Positive slope   3/4

Step-by-step explanation:

please help I'll mark brainliest​

Answers

Answer:

470?

Step-by-step explanation:

I am not fully sure of the answer

Answer: C. 175

Step-by-step explanation:

3s+5s=280

s=35

5s=175

s= price for one shirt

5s=price of jacket

Simplify the expression (7a5b6)4 . Please help

Answers

Answer:

28a 20b 24

Step-by-step explanation:

Answer:

28a20b24

Step-by-step explanation:

7(4)=28a

5(4)=20b

6(4)=24

so you put it all together which is: 28a20b24

The following linear system is to be solved using a
substitution method.
x = 4y - 94
3x + 8y = 218
After the initial substitution, the resulting expanded
equation would be
A. 12y – 282 +8y = 218
B. 3x + 32y – 94 = 218
C. 3x + 32y – 752 = 218
D. 12y - 94 + 8y = 218

Answers

Answer:12y-282+8y=218

Step-by-step explanation:


You must solve for s.
-8s + 16 = 56

Answers

Answer:

s= -5

Step-by-step explanation:

-8s + 16 = 56

Subtract 16 from both sides of the =, as this will cancel the + 16

-8s = 40

Divide both sides by -8, as this will cancel out the -8 beside the s

s = -5

Please help this is super important. like actually don't guess because people guess

Answers

Answer:

m=  -2

Step-by-step explanation:

simplify and solve

9m-12-3m=2m-18+m

6m-12=3m-18

3m=-6

m=-2

Answer:

m=-2

Step-by-step explanation:

3(3m-4)-3m=2m-18+m

remove the parentheses and collect like terms

9m-12-3m=3m-18

collect the terms

6m-12=3m-18

move the terms

6m-3m=-18+12

collect like terms and add them

3m=-6

Divide both sides by 3

m=-2

What is 14% of 150 please help

Answers

Answer:

21.

Step-by-step explanation:

Is the following a graph of a function yes or no why

Answers

Answer:

No

Step-by-step explanation:

Here is a trick... To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

Your graph has an S and the line would go through it 2 times.

Period go offf jsjsja

that is $21.24÷6 and that is 28.63÷7 and 1.505÷35.thx

Answers

Answer:

$21.24÷6=$3.54

28.63÷7=4.09

1.505÷35=0.043

Here you go

Step-by-step explanation:

OMG FREE BRAINLIESTOMGGGG!!!AHHH

Answers

Answer:

thank yoy so much for these free points, and I hope you have the best day because you deserve to have a really good day

Step-by-step explanation:

Please mark me as brainliest!

Answer:

awwww tyyy!! that was rlly kind of you!! :3 have a nice day <3 (also sorry if I'm too late XD)

Step-by-step explanation:

tyyy again!!

Which of these is an example of numerical data?
A Color of kitchen
B. Type of house
C. Distance from home
D. Name of street
Please hurry

Answers

Answer:

C

Step-by-step explanation:

Distance is the answer that includes numerical items!

Answer:

Daily temperature

Step-by-step explanation:

Mrs. lee bought 2 gallons of apple cider for 7.40. how much does she pay for 5 gallons of apple cider?

Answers

Answer: 18.50$

.....................................................

Will give brainliest

Answers

Answer:

The third one does

Step-by-step explanation:

Answer:

The 3rd option

Step-by-step explanation:

The distributive property is used to get rid of the parenthesis by multiplying the outside number by the numbers inside of the parenthesis individually.

It is recommended that adults consume at least 1,000 mg of calcium every day. One ounce of whole milk contains about 25 mg of calcium, and one ounce of cheddar cheese contains 200 mg of calcium. If a person meets the recommendation by consuming x ounces of whole milk and y ounces of cheddar cheese, then 25x + 200y ≥ 1,000.Give three different amounts of milk and cheese that a person could consume to meet the recommendation.

Answers

Answer:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese

Step-by-step explanation:

Consider the inequality [tex]25x+200y\geq 1000[/tex]

Here, x denotes ounces of whole milk and y denotes ounces of cheddar cheese.

To write: three different amounts of milk and cheese that a person could consume to meet the recommendation

Solution:

Take [tex]x=20,y=3[/tex]

[tex]25(20)+200(3)\geq 1000\\500+600\geq 1000\\1100\geq 1000[/tex]

So, [tex]x=20,y=3[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]

Take [tex]x=30,y=4[/tex]

[tex]25(30)+200(4)\geq 1000\\750+800\geq 1000\\1550\geq 1000[/tex]

So, [tex]x=30,y=4[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]

Take [tex]x=40,y=5[/tex]

[tex]25(40)+200(5)\geq 1000\\1000+1000\geq 1000\\2000\geq 1000[/tex]

So, [tex]x=40,y=5[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]

Therefore,

three different amounts of milk and cheese that a person could consume to meet the recommendation are as follows:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese

I need help i don't get it.​

Answers

What do the bottom say ? Can you tell me it says down there

help me plzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

12 is A, 13 is C

Step-by-step explanation:

I took the test. MARK AS BRAINLIST!

assume that a varies directly as b. when the value of a is 5 the value of b is 18. when the value of a is 22 what is the value of b?

Answers

Answer:

The value of b when a is 22 is 79 1/5

Step-by-step explanation:

a varies directly as b

Let k be the constant of proportionality;

then;

a = kb

5 = k * 18

k = 5/18

Finding the value of b, when a is 22

22 = 5/18 * b

5b = 18 * 22

b = (18 * 22)/5 = 79 1/5

I need help Asap, please

Answers

Panda? Let me know.

Jennifer is saving money to buy a bike. The bike costs $188. She has $116 saved, and each week she adds
$12 to her savings.
How long will it take her to save enough money to buy the bike?

Answers

Answer: 6 weeks

Step-by-step explanation:

116+12+12+12+12+12+12=$188

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