Question

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

Answer 1

Given: the polynomial is,

$20x^5+4x^3+12x^2$

The GCF is the highest common factor.

For the given polynomial,

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