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# Factorization of Quadratic Expressions

## Factor quadratics with positive coefficients

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Factoring When the Leading Coefficient Doesn't Equal 1

### Vocabulary Language: English

Greatest Common Factor

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

Linear factors are expressions of the form $ax+b$ where $a$ and $b$ are real numbers.
Polynomial

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.

The quadratic formula states that for any quadratic equation in the form $ax^2+bx+c=0$, $x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$.

A quadratic polynomial is a polynomial of the 2nd degree, in other words, a polynomial with an $x^2$ term.
Trinomial

Trinomial

A trinomial is a mathematical expression with three terms.