0. Review of Algebra

Factoring Polynomials

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Multiple Choice

Factor out the Greatest Common Factor in the polynomial.
$4x^2y-100y$

$y\left(4x^2-100\right)$

$4\left(x^2y-25y\right)$

$4y$ ( $x^2-25$ )

$4y\left(x^2-100\right)$

Verified step by step guidance

Identify the terms in the polynomial: 4x^2y and -100y.

Determine the greatest common factor (GCF) of the coefficients and variables. The GCF of 4 and 100 is 4, and the common variable is y.

Factor out the GCF from each term. This means dividing each term by the GCF, which is 4y.

Rewrite the polynomial with the GCF factored out: 4y(x^2 - 25).

Recognize that x^2 - 25 is a difference of squares, which can be further factored into (x - 5)(x + 5).

Master Introduction to Factoring Polynomials with a bite sized video explanation from Patrick

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Expert video explanations

Factor out the Greatest Common Factor in the polynomial.4x2y−100y4x^2y-100y4x2y−100y