0. Fundamental Concepts 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 4 and 100, which is 4.

Identify the common variable factor in both terms, which is y.

Factor out the GCF from each term: 4y(x^2 - 25).

Verify the factorization by distributing 4y back into the expression to ensure it matches the original polynomial.

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Expert video explanations

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