Respuesta :

pebblesone
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:

[tex]2x^2(x+5)(x-7)[/tex]

Step-by-step explanation:

[tex]2x^7 - 4x^6 - 70x^5[/tex]

To factor the given expression, factor out GCF

GCF is 2x^5

So factor out GCF from the given expression

[tex]2x^7 - 4x^6 - 70x^5[/tex]

[tex]2x^2(x^2-2x-35)[/tex]

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

[tex]x^2-2x-35 =(x+5)(x-7)[/tex]

[tex]2x^7 - 4x^6 - 70x^5[/tex]

[tex]2x^2(x+5)(x-7)[/tex]

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