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Notes for Polynomial Factoring - NYS Regents | RevisionDojo

The process of rewriting a mathematical expression as a product of its factors.

Note

Factoring is the reverseof expanding.

Factoring out the greatest common factor

The greatest common factor (GCF) of a polynomial is the largest expression that divides all the terms of the polynomial.

Hint

Always start by factoring out the GCF. It simplifies the polynomial and makes further factoring easier.

Self review

1. Factor \$3x^3 - 6x^2 + 9x\$. 2. Factor \$x^2 - 9\$. 3. Factor \$4x^2 + 12x + 9\$. 4. Factor \$x^3 + 3x^2 - x - 3\$.

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End of article

Polynomial Expressions and Equations6 subtopics

Rational Expressions and Equations3 subtopics

Exponential and Logarithmic Expressions and Equations5 subtopics

Radical Expressions and Equations4 subtopics

Trigonometric Expressions and Equations7 subtopics

Systems of Equations3 subtopics

Functions2 subtopics

Sequences1 subtopic

Probability3 subtopics

Normal Distribution2 subtopics

Statistics2 subtopics

Polynomial Factoring Notes