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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