Key Terms Chapter 07: Factoring
- Page ID
- 101928
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- 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,
\[a^2 + 2ab + b^2= (a + b)^2 \qquad a^2 - 2ab + b^2 = (a - b)^2\]
- 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
-
\[a^3 + b^3 = (a + b)(a^2 - ab + b^2)\]
\[a^3 - b^3 = (a - b)(a^2 + ab + b^2)\]
- 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.