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Factor by taking out the greatest common factor

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Overview

Grade 11 Applied Mathematics (30S)
Develop logical reasoning
7. Analyze and prove conjectures using inductive and deductive reasoning to solve problems
7.1 Factor by taking out the greatest common factor

Factoring by Taking Out the Greatest Common Factor (GCF)

Master the essential algebraic skill of factoring with GCF. Learn to simplify expressions, solve equations, and build a strong foundation for advanced math concepts. Boost your problem-solving abilities today!

What You'll Learn

Identify the Greatest Common Factor (GCF) in polynomials
Simplify algebraic expressions by factoring out the GCF
Understand the relationship between factors and factoring
Apply factoring techniques to solve complex equations

What You'll Practice

1

Factoring simple integers and variables

2

Breaking down polynomials like \(12p^7 - 18p^2 - 30\)

3

Checking your work by distributing

Why This Matters

Factoring by taking out the greatest common factor (GCF) is a fundamental algebraic technique for simplifying rational expressions and solving equations. The concepts learned here will server as building blocks for more advanced factoring and algebraic manipulations.

Before You Start — Make Sure You Can:

Common factors of polynomialsFactoring polynomials: x^2 + bx + cFactoring polynomials: \(ax^2 + bx + c\)

This Unit Includes

3 Video lessons
Practice exercises
Learning resources

Skills

GCF
polynomials
factoring
distribution
algebra
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