Question

Facter each expression. $$3 r^{4}-36 r^{3}-135 r^{2}$$

   Facter each expression.
$$3 r^{4}-36 r^{3}-135 r^{2}$$

College Algebra

College Algebra

R. David Gustafson,… 11th Edition

Chapter 8, Problem 74

Instant Answer

Solved by Expert Amy Jiang

07/06/2020

Step 1

This gives us: $$3 r^{2}(r^{2}-12 r+45)$$ Show more…

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Facter each expression. $$3 r^{4}-36 r^{3}-135 r^{2}$$

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Key Concepts

Greatest Common Factor

The Greatest Common Factor (GCF) is the largest expression, typically a combination of coefficients and variables, that divides each term of a polynomial without leaving a remainder. In the process of factoring, extracting the GCF simplifies the expression and sets the stage for additional factoring if needed.

Factoring Polynomials

Factoring polynomials is the process of expressing a polynomial as a product of smaller, simpler polynomials. This technique is crucial in solving polynomial equations, simplifying expressions, and understanding the structure of the polynomial. It often begins with factoring out the GCF, after which other factoring methods may be applied.

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