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Math Example--Quadratics--Completing the Square: Example 2

Completing the Square: Example 2

Completing the Square: Example 2

Topic

Quadratics

Description

This example showcases completing the square for a quadratic equation with a leading coefficient of 1. It involves additional steps of factoring out the coefficient before creating the perfect square trinomial. This process demonstrates the versatility of the technique in handling various forms of quadratic equations. The algebraic skills required include factoring, division, and simplification of fractions. By converting to vertex form, this method provides insights into the parabola's position and shape, facilitating easier graphing and analysis of the quadratic function.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Common Core Standards CCSS.MATH.CONTENT.HSA.SSE.B.3.B, CCSS.MATH.CONTENT.HSA.REI.B.4.A, CCSS.MATH.CONTENT.HSF.IF.C.8.A
Grade Range 9 - 11
Curriculum Nodes Algebra
    • Quadratic Functions and Equations
        • Quadratic Equations and Functions
Copyright Year 2021
Keywords quadratics, completing the square