# 2.1: Methods for Solving Quadratic Functions

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**Practice**Methods for Solving Quadratic Functions

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Completing the Square

Completing the square is a common method for rewriting quadratics. It refers to making a perfect square trinomial by adding the square of 1/2 of the coefficient of the term.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 that make each binomial equal to zero.factored form

The factored form of a quadratic function is , where and are the roots of the function.Factoring

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

The quadratic formula states that for any quadratic equation in the form , .quadratic function

A quadratic function is a function that can be written in the form , where , , and are real constants and .Roots

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 .Vertex form

The vertex form of a quadratic function is , where is the vertex of the parabola.Zeroes of a Polynomial

The zeroes of a polynomial are the values of that cause to be equal to zero.### Image Attributions

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A review of the three major methods of solving quadratic functions for ''x'' intercepts.

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Date Created:

Nov 01, 2012
Last Modified:

Jul 22, 2016
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