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Question

Factor out the GCF from each polynomial. a. x³ + 5x² - 22x b.

16y6+28y420y³-16y^6 + 28y^4 - 20y³

Solution

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

3x3+5x222x{ 3x^3+5x^2-22x}

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

3x3=3xxx5x2=5xx22x=22x\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{\ x}

The factor GCF out of each term of the expression

3x3+5x222x=x(3x2+5x22)3x^3+5x^2-22x{=x(3x^2+5x-22)}

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