Respuesta :

Explanation:

From the given question

We are given the function

[tex]20x^5-16x^4-12x^2[/tex]

GCF: The greatest common factor of a set of numbers is the largest factor that all the numbers share, in our case the GCF is

[tex]4x^2[/tex]

So, for the first part

[tex]GCF=4\times x^2[/tex]

Then

for the second part

[tex]\frac{20x^5+16x^4-12x^2}{4x^2}=5x^3+4x^2-3[/tex]

Thus

we will have

[tex]Factored\text{ function:GCF\lparen5}\times x^2\text{\rparen+\lparen4}\times x^2\text{\rparen+\lparen-3\rparen}[/tex]

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