Factoring Polynomials Practice Worksheet and Answers

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Factoring Polynomials Practice Worksheet and Answers are a valuable resource for students who are seeking to improve their knowledge of how to factor polynomials. The worksheet includes two sets of practice problems, one with two factors and one with three factors, so that students can learn how to factor more complex polynomials. Additionally, the answers to the practice problems are provided so that students can check their work and improve their skills.

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What is factoring polynomials?

Factoring polynomials involves expressing a polynomial as a product of simpler polynomials.

How do you factor a polynomial?

There are several techniques that can be used to factor polynomials, including: factoring out the greatest common factor, using the sum-product rule, and applying the rational root theorem.

What is the sum-product rule?

The sum-product rule states that if a polynomial can be expressed as the product of two factors, then the sum of the roots of the polynomial is equal to the negative of the coefficient of the linear term divided by the coefficient of the quadratic term.

What is the rational root theorem?

The rational root theorem states that if a polynomial has rational roots, then these roots can be expressed in the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

When should the technique of factoring out the greatest common factor be used?

The technique of factoring out the greatest common factor should be used when the polynomial contains a common factor that is not linear. This technique involves dividing the polynomial by the greatest common factor to obtain a simplified expression.