Question

Which method would be BEST to use to factor the polynomial 2x7 – 4x6 – 70x5?

Answer 1

take out some of the x's and take out a two
2x^5(x2-2x-35)
2x5(x-7)(x+5)
x=0,7,-5
hope this helps!

Answer 2

`2x^2(x+5)(x-7)`

Explanation:

`2x^7 - 4x^6 - 70x^5`

To factor the given expression, factor out GCF

GCF is 2x^5

So factor out GCF from the given expression

`2x^7 - 4x^6 - 70x^5`

`2x^2(x^2-2x-35)`

Now factor x^2-2x-35

Product is -35 and sum is -2

-7 times 5 is -35

-7+5=-2

So factors are -7 and 5

`x^2-2x-35 =(x+5)(x-7)`

`2x^7 - 4x^6 - 70x^5`

`2x^2(x+5)(x-7)`