Key Terms Chapter 07: Factoring
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- Difference of Squares Pattern
- If a and b are real numbers,
- Factoring
- Factoring is splitting a product into factors; in other words, it is the reverse process of multiplying.
- Greatest Common Factor
- The greatest common factor is the largest expression that is a factor of two or more expressions is the greatest common factor (GCF).
- Perfect Square Trinomials Pattern
- If a and b are real numbers,
a2+2ab+b2=(a+b)2a2−2ab+b2=(a−b)2
- Prime Polynomials
- Polynomials that cannot be factored are prime polynomials.
- Quadratic Equations
- are equations in which the variable is squared.
- Sum and Difference of Cubes Pattern
-
a3+b3=(a+b)(a2−ab+b2)
a3−b3=(a−b)(a2+ab+b2)
- Zero Product Property
- The Zero Product Property states that, if the product of two quantities is zero, at least one of the quantities is zero.