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

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}`