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Question

# Factor out the GCF from each polynomial. a. x³ + 5x² - 22x b.$-16y^6 + 28y^4 - 20y³$

Solution

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We want to get out of the greatest common factor for the following expression:

${ 3x^3+5x^2-22x}$

Determine the greatest factor of the number of each term as follows:

\begin{align*} {3x^3} & =3\cdot x\cdot x\cdot x \\ \\ {5x^2} & =5\cdot x\cdot x \\ \\ {-22x} & =-22\cdot x \end{align*}

The GCF coefficient of the number is ${\ x}$

The factor GCF out of each term of the expression

$3x^3+5x^2-22x{=x(3x^2+5x-22)}$

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