HELP SOMEONE PLEASE!!!!! Factor completely 10x2 + 2x − 8. 2

Mathematics

2 answers:

natka813 [3]3 years ago

6 0

Answer:

2(5x - 4)(x + 1)

Step-by-step explanation:

10x^2 + 2x − 8 =

First, factor out the GCF of all terms which is 2.

= 2(5x^2 + x - 4)

5x^2 factors into 5x and x.

= 2(5x )(x )

-4 factors into -4 and 1, -1 and 4, and -2 and 2. Use the set of two factors in the proper positions that will give the middle term.

= 2(5x - 4)(x + 1)

UkoKoshka [18]3 years ago

5 0

Answer:

$\large \boxed{2(5x-4)(x+1)}$

Step-by-step explanation:

$10x^2 + 2x - 8$

Rewrite 2x as 10x - 8x.

$10x^2 + 10x-8x - 8$

Factor out the two groups.

$10x(x+1)-8(x+1)$

Take x+1 as a common factor.

$(10x-8)(x+1)$

Factor 10x - 8.

$2(5x-4)(x+1)$

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