12 Factoring

Polynomials can be combined through multiplication. Factoring is a method for reducing polynomials into a product of simpler polynomials. The factoring process undoes multiplication, enabling us to put a polynomial into its simplest form. Once a polynomial is in its reduced form we will solve for the roots of some of them. In this module you will investigate the critical steps involved with factoring polynomials, determining their roots, and solving equations. We approach the factoring of polynomials systematically. The key is to building up a repertoire of polynomials, so that you can quickly see both the form and the expected factors.

12.1 Common Factors & Grouping

  • Greatest Common Factor

  • Factoring and the GCF

  • Factoring by Grouping

12.2 Factoring Trinomials

  • Factoring x^2+bx+c

  • Factoring ax^2+bx+c

12.3 Factoring Special Polynomials

  • Factoring the Difference of 2 Squares

  • Sums & Differences of Cubes

12.4 Solving Quadratic Equations

  • Solving by Factoring

  • Factoring Perfect Squares

  • Completing the Square

12.5 Additional Assignments

  • Factoring Completely

  • Finding the x-Intercepts of Parabolas

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Topics

1 Whole Numbers
2 Fractions
3 Decimals
4 Ratio & Proportion
5 Tables & Graphs
6 The Real Numbers
7 Solving Linear Equations
8 Graphing Linear Equations
9 Systems of Equations
10 Geometry
11 Polynomials
12 Factoring
13 Rational Expressions & Equations
14 Exponents & Radicals
15 Quadratic Equations
16 Introduction to Functions
19 Exponential and Logarithmic Functions