Mathematics High School

Express the polynomial as a product of linear factors.
f(x) = 2x2 + 4x2 - 2x - 4
O A. (x-2)(x + 1)(x - 1)
O B. (x-2)(x-2)(x-1)
O c. 2(x + 2)(x + 1)(x-1)
O D. (x-4)(x + 1)(x-1)

Express The Polynomial As A Product Of Linear Factors.f(x) = 2x2 + 4x2 - 2x - 4O A. (x-2)(x + 1)(x -

Answers

Answer 1
The answer is c.

I attached a photo with the procedure in case you need it
Answer 2

The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)

We have,

To express the polynomial f(x) = 2x³ + 4x² - 2x - 4 as a product of linear factors, we can use a technique called factorization by grouping.

First, let's group the first two terms and the last two terms together:

f(x) = (2x³ + 4x²) + (-2x - 4)

Factor out the greatest common factor from each group:

f(x) = 2x²(x + 2) - 2(x + 2)

Notice that we now have a common factor of (x + 2) in both terms.

We can factor it out:

f(x) = (x + 2)(2x² - 2)

Now we can factor the quadratic expression 2x^2 - 2 by factoring out the greatest common factor of 2:

f(x) = (x + 2)2(x² - 1)

Now we can factor the expression x² - 1 as the difference of squares:

f(x) = (x + 2)2(x - 1)(x + 1)

Therefore,

The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)

Learn more about polynomials here:

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Related Questions

find the area of the arrow below

Answers

Answer:

36

Step-by-step explanation:

Because the box is a 4x5 so that's 20 and then the triangle is a 8x4 so 32 divided by 2 is 16 and finally 16 + 20 is 36

36 feet squared purrrriodr

could someone maybe help me with this ?

Answers

Answer:

The scale factor is 3

Step-by-step explanation:

The answer is 3

Identify a transformation of the function ƒ(x) = x^2 by observing the equation of the function g(x) = (x – 1)^2

Answers

Answer:

f(x) is translated 1 units left to give g(x)

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

[tex]g(x) = (x - 1)^2[/tex]

Required

How does f(x) transform to g(x)

[tex]f(x) = x^2[/tex]

When translated by b units left, it gives:

[tex]g(x) = f(x - b)[/tex]

In this case:

[tex]b = 1[/tex]

So:

[tex]g(x) = f(x - 1)[/tex]

If [tex]f(x) = x^2[/tex], then

[tex]f(x - 1) = (x - 1)^2[/tex]

Hence:

[tex]g(x) = (x - 1)^2[/tex]

This implies that; f(x) is translated 1 units left to give g(x)

The integer −282 could represent which three situations?A) owing $282B) depositing $282C) losing 282 pointsD) growing 282 feetE) diving 282 feet

Answers

A, C, and E
I think that it makes sense

Find the area of obtuse triangle ABC when A=41 degrees, a=18cm, and b=22cm.

Answers

Answer:

36 cm²

Step-by-step explanation:

cos A=  (`sqrt(b)` + `sqrt(c)` - `sqrt(a)`)/(2bc)

⇒c ≈ 5 cm

Sabc= (1/2)bcsin A ≈ 36 cm²

Select fractions are equivalent to 4/20

Answers

1/5

2/10

3/15

5/25

6/30

7/35

8/40

9/45

10/50

Answer:

1/5

Step-by-step explanation:

4/20=1/5

I NEED HELPPP PLSS THIS IS FOR GRADE! I WILL BE GIVING BRAINLIEST + POINTSS!!!!

Answers

Answer:

3 ft by 6 ft

Step-by-step explanation:

The dimensions are 3 ft by 6 ft

The dimensions of the cross section will be the same as the dimensions of one of the rectangles on the outsides, so 3 x 6.

Describe how the distributive property can be used when doing this calculation

Answers

Answer:

Step-by-step explanation:

9 (10 - 3)

you use this to get rid of the number outside of the () in this case it'd be a 9

90 - 27

Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Add the ratios together:

5 + 2 + 1 = 8

Divide the length of NQ by that:

24/8 = 3

Multiply the ratio of NO by that/l

The ratio of NO is 5, 5 x 3 = 15

NO = 15

Find the value of |5| - 4(3 to the second power - 2).

Answers

Answer:

4.55

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Question 7 options:
A right triangle has a hypotenuse that is 15 centimeters. The length of one of the legs is 10 centimeters.

The length of the other leg, rounded to the nearest tenth, is ___ centimeters.

Answers

a^2 + b^2 = c^2

10^2 + b^2 = 15^2

100 + b^2 = 225

b^2 = 225 - 100

b^2 = 125

b = square root 125

b = 11.2cm

please help i’m struggling bad

Answers

Answer:

53

Step-by-step explanation:

86 = 2x - 20

+20       +20

106 = 2x

2       2

53 = x

Answer:

x = 53

Step-by-step explanation:

Those 2 are alternate interior angles. So that means they're the same

2x - 20 = 86     <-- Add 20 to the right side

2x = 106     <-- Divide by 2

x = 53

The third musketeer on this excursion bought an iWatch for $220, that was originally $250. What was the percent discount on his watch?

Answers

30 dollars
250
- 220
——-
30

2 more than the product of 3 and a number is -10.

Answers

Answer:

-4

Step-by-step explanation:

2 more than the product of 3 and a number is -10 can be written as 3x+2=-10.

we can take this equation and solve it, first subtracting 2 from both sides to get 3x=-12.

now we divide both sides by 3 to get x=-4, so the answer is -4.

Use the diagram to complete the statements.

The measure of angle L is
70
°.

The trigonometric ratio that uses ∠M and LN to solve for NM is
.

The length of NM, to the nearest tenth, is approximately
.

Answers

The explanation of my answer

WILL GIVE BRAIN IF CORRECT

Answers

i. c b a

ii. e d f

iii. h i g

hope this helps

now give me your brain lol

Answer:

1. (<A) > (<B) > (<C)

2. (<F) > (<D) > (<E)

3. (<H) > (<I) > (<G)

Step-by-step explanation:

The sides-angles theorem in a triangle states that the largest angle in a triangle will be opposite the largest side. One can apply this to the given set of triangles:

(1)

CB > AC > AB

4.4 > 3.1 > 2.7

(<A) > (<B) > (<C)

(2)

DE > FE > DF

(x) > (x-3) > (x-5)

(<F) > (<D) > (<E)

(3)

GI > GH > HI

(21x) > (14x) > (13x)

(<H) > (<I) > (<G)

What is 15^1/3 in radical form?

Answers

Answer:

the answer is c 3^15

Step-by-step explanation:

Answer:

3√15

Step-by-step explanation:

Edge 2021

Find the Volume of the prism
10 mm
13 mm
10 mm

Answers

Answer:

33 I hope this helps good luck with the answer

2 ways the akkadian and assyria empire are the same​

Answers

Answer:

The Akkadian and Assyrian empires were two of the world’s first empires. Their conquests reshaped Mesopotamia. The many empires that would follow, worldwide,

Step-by-step explanation:

find the value of x. need quickly plz help​

Answers

Answer:

60°

Step-by-step explanation:

I think, should be correct all sides = 180

180/3 = 60

Answer:

x = 60

Step-by-step explanation:

This is an equilateral triangle so all angles are 60 degrees

Select all the quadrilaterals that describe the figure

Answers

Answer:

Parallelogram and Rhombus

These two quadrilaterals describe the figure

please help me with these 3 questions

Answers

Step-by-step explanation:

pentagonal pyramid

cone

7

What is the distance from the origin to point A graphed on the complex plane below?

Answers

hi! where’s the picture? can you pls upload it

I WILL GIVE 20 POINTS FOR CORRECT ANSWER!​

Answers

Answer:

I believe that the answer is A (3,-2)

What is the value of x?

Answers

Answer: In  algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition

I need help on this question ASAP please

Answers

A) (3,-5)

Go over to the right 3 and down 5

B) (-4,-1)

Go over to the left 4 and down 1

Answer:

A - (3, -5)

B - (-4, -1)

Step-by-step explanation:

A - (3, -5)

B - (-4, -1)


In Triangle EFG, the measure of angle G=90°, the measure of angle E=77°, and GE = 8 feet. Find the
length of EF to the nearest tenth of a foot.

Answers

Answer:

35.6

Step-by-step explanation:

What is the correct answer?

Answers

Answer:

C please give brainest!

Step-by-step explanation:

4/5x - 3/10 (x +4)
What is the solution to the question?

Answers

Answer:

1/10x(5x-12)

Step-by-step explanation:

4/5x-3/10x(x+4)

factor the expression

1/10x(8x-3x-12)

collect like terms to get 1/10x(5x-12)

Jonathan borrowed $5 from a friend who is charging him 5% interest every day on the $5. If his friend takes 4 weeks to pay Jonathan back, how much will he owe him. Use I= PRT

Answers

Answer:

$1.00

Step-by-step explanation:

5 (0.05) (4)= $1.00

hope this helps

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