Factor fully −4x2 + 16x − 24. A. −1(x2 − 16x + 24) b. −4(x2 − 4x + 6) c. −4x(x2 − 4x + 6) d. −4(x2 + 4x − 6)

Option B is correct

factor fully of is

Step-by-step explanation:

GCF(Greatest typical Factor) says that the largest factor that divides the polynomial.

You are watching: Factor completely −4x2 + 16x − 24.

Given the expression:

By meaning of GCF we have;

Factor a GCF that the offered expression.

Since GCF the

, and also -24 is -4

then;

Therefore, factor fully of is

1. - A.

2.

Find the roots:

,

then

- C.

3. - D.

4. - C.

5.

Find the roots:

,

then

and the width of the lawn is x-6 - A.

6. Since

the length and also width space x+8 and also x-3 - A.

7. - B.

8.

.

So the greatest typical divisor is - D.

9.

Find the roots:

,

then

- A.

10.

- B.

11.

, the size is 6x+15.

12.

- C.

13.

.

14. - B.

15.

, the length of one next is 9p+5.

4(x - 3)(x + 2)

Step-by-step explanation:

Look at the coefficient that the terms. They space all a multiple of 4, for this reason let"s take out the 4!

4x2 - 4x - 24

= 4(x2 - x - 6)

(x2 - x - 6) have the right to be factorised to (x - 3)(x + 2).

So the price is 4(x - 3)(x + 2).

Step-by-step explanation:

To element the expression

girlfriend must:

Factor out usual term 4:

Now, variable

Break the expression right into groups

Factor the end

native
:

Factor the end -3 from

:

Next, element out typical term

Therefore,

" title="9abd9"> is the totally factored type of her polynomial

Therefore Louise polynomial i do not care " title="1113c">

Step-by-step explanation:

Given that Louise starts factoring the polynomial which has four terms

Given polynomial is

Now Factoring the above given polynomial together below

" title="bdce1"> ( taking typical terms )

" title="17282"> ( taking common factors )

Therefore " title="1113c">

Therefore the factored polynomial is " title="9abd9">

" title="9abd9"> is the completely factored type of her polynomial

Therefore Louise polynomial becomes " title="1113c">

option (d) is correct.

The factored form of given polynomial is

Step-by-step explanation:

Given polynomial

We need to write the factored form of offered polynomial and choose the exactly option.

Consider the offered polynomial

Taking

usual , we are left through

Now, take 6 typical from each term , us have,

Now we split the quadratic equation using center term break-up method,

-7x deserve to be composed as -3x and also -4x , us get

Taking 3x typical from very first two term and -4 common from last two terms,, us have,

Now, acquisition (x-1) usual , us have,

Thus, the factored type of given polynomial is

Thus, alternative (d) is correct.

See more: Identify The Molecular Geometry Of Sf2., Common Shapes & Examples

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