Question

Factor each polynomial completely. $$6 a-6 y-a x+x y$$

   Factor each polynomial completely.
$$6 a-6 y-a x+x y$$

Algebra for College Students

Algebra for College Students

Mark Dugopolski 5th Edition

Chapter 5, Problem 98

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Solved by Expert Amy Jiang

04/20/2020

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We group the terms as $(6a-6y)-(ax-xy)$. Show more…

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Factor each polynomial completely. $$6 a-6 y-a x+x y$$

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Key Concepts

Polynomial Factoring

Polynomial factoring is the process of expressing a polynomial as a product of simpler factors. This technique is essential for simplifying expressions, solving polynomial equations, and analyzing functions within algebra.

Common Factor Extraction

Common factor extraction involves identifying and removing a factor that is shared by two or more terms in the polynomial. This step simplifies the expression and is often the first move towards complete factorization.

Factor by Grouping

Factor by grouping is a strategy used to factor expressions that consist of four or more terms. By organizing terms into groups that share a common factor, one can factor each group separately and then factor further from the resulting expression.

Distributive Property

The distributive property allows one to multiply a single term by two or more terms inside a bracket, and its reverse is used in factoring. Recognizing and reversing the distributive property is key to rewriting a sum as a product of factors.

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