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6.8: Factoring Polynomials in Quadratic Form

Difficulty Level: At Grade Created by: CK-12
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Factor to Solve

"Factor to Solve" is a common method for solving quadratic equations accomplished by factoring a trinomial into two binomials and identifying the values of x that make each binomial equal to zero.

factored form

The factored form of a quadratic function f(x) is f(x)=a(x-r_{1})(x-r_{2}), where r_{1} and r_{2} are the roots of the function.


Factoring is the process of dividing a number or expression into a product of smaller numbers or expressions.

Quadratic form

A polynomial in quadratic form looks like a trinomial or binomial and can be factored like a quadratic expression.

quadratic function

A quadratic function is a function that can be written in the form f(x)=ax^2 + bx + c, where a, b, and c are real constants and a\ne 0.


The roots of a function are the values of x that make y equal to zero.

standard form

The standard form of a quadratic function is f(x)=ax^{2}+bx+c.

Vertex form

The vertex form of a quadratic function is y=a(x-h)^2+k, where (h, k) is the vertex of the parabola.

Zeroes of a Polynomial

The zeroes of a polynomial f(x) are the values of x that cause f(x) to be equal to zero.

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Difficulty Level:
At Grade
Date Created:
Mar 12, 2013
Last Modified:
Sep 07, 2016
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