10.1: Objectives

Elementary Algebra · LibreTexts

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    From LibreTexts, under CC BY 4.0, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    10.1: Objectives

    After completing this chapter, you should

    Solving Quadratic Equations

    • be able to place a quadratic equation into standard form
    • be familiar with the zero-factor property of real numbers

    Solving Quadratic Equations by Factoring

    • be able to solve quadratic equations by factoring

    Solving Quadratic Equations Using the Method of Extraction of Roots

    • be able to solve quadratic equations using the method of extraction of roots
    • be able to determine the nature of the solutions to a quadratic equation

    Solving Quadratic Equations Using the Method of Completing the Square

    • understand the logic underlying the method of completing the square
    • be able to solve a quadratic equation using the method of completing the square

    Solving Quadratic Equations Using the Quadratic Formula

    • recognize the standard form of a quadratic equation
    • understand the derivation of the quadratic formula
    • solve quadratic equations using the quadratic formula

    Applications

    • become more proficient at using the five-step method for solving applied problems

    Graphing Quadratic Equations

    • be able to construct the graph of a parabola

    This page titled 10.1: Objectives was last modified on Wed, 09 Jun 2021 07:26:37 GMT and is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Denny Burzynski and Wade Ellis, Jr. (OpenStax CNX) .