Factor the GCF out of the polynomial20{x}^(5) + 4 {x}^(3 +) + 12 {x}^(2)

asked May 26, 2023 167k views

5 votes

Factor the GCF out of the polynomial
$20{x}^(5) + 4 {x}^(3 +) + 12 {x}^(2)$

$Factor the GCF out of the polynomial20{x}^(5) + 4 {x}^(3 +) + 12 {x}^(2)-example-1$

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4 votes

Given: the polynomial is,

The GCF is the highest common factor.

For the given polynomial,

$\begin{gathered} 20x^5+4x^3+12x^2=4x^2(5x^3)+4x^2(x)+4x^2(3) \\ =4x^2(5x^3+x+3) \\ \text{Hence, GCF is 4x}^2 \end{gathered}$

Soliz answered May 31, 2023

by Soliz

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