# 9.8: Factorization of Quadratic Expressions

Difficulty Level: Basic Created by: CK-12
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TermDefinition
Quadratic Polynomials A quadratic polynomial is a polynomial of the 2nd degree, in other words, a polynomial with an $x^2$ term.
standard form of quadratic polynomials The standard form of a quadratic polynomial is $ax^2+bx+c$, where $a,\ b$, and$c$ are real numbers.
Greatest Common Factor The greatest common factor of two numbers is the greatest number that both of the original numbers can be divided by evenly.
linear factors Linear factors are expressions of the form $ax+b$ where $a$ and $b$ are real numbers.
Polynomial A polynomial is an expression with at least one algebraic term, but which does not indicate division by a variable or contain variables with fractional exponents.
Quadratic Formula The quadratic formula states that for any quadratic equation in the form $ax^2+bx+c=0$, $x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$.
Trinomial A trinomial is a mathematical expression with three terms.

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