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Can someone answer this question

Can someone answer this question-example-1

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Answer: x+2

Explanation:

It is not factorable through grouping method. You can test for factors if you divide the factor and it goes in evenly (no remainder) then, it is a factor.

I will use synthetic division to test:

X-8:

8 | 1 -14 56 -64

| 8 -48 64

1 -6 8 0 =>no remainder so yes this is a factor

X+2:

-2 | 1 -14 56 -64

| -2 32 -176

1 -16 88 -240 => remainder so NOT factor

X-2:

2 | 1 -14 56 -64

| 2 -24 64

1 -12 32 0 =>no remainder so yes this is a factor

X-4:

4 | 1 -14 56 -64

| 4 -40 64

1 -10 16 0 =>no remainder so yes this is a factor

User Mako
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