Objective 3 - Solving Quadratics by Factoring - Ximera

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Solving quadratic equations using the zero-factor principle.

Link to section in online textbook.

First, watch the video below to learn how to use factoring to solve a quadratic equation. You can use the notes here to follow along with the video and record your thoughts.

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Now practice solving quadratic equations by factoring.

Solve the quadratic equation below.

$\sage {generalForm5} = 0$

Smaller solution: $x = \answer [tolerance=0.05]{\sage {zeros5[0]}}$

Larger solution: $x = \answer [tolerance=0.05]{\sage {zeros5[1]}}$

Solve the quadratic equation below.

$\sage {generalForm6} = 0$

Smaller solution: $x = \answer [tolerance=0.05]{\sage {zeros6[0]}}$

Larger solution: $x = \answer [tolerance=0.05]{\sage {zeros6[1]}}$

Solve the quadratic equation below.

$\sage {generalForm7} = 0$

Smaller solution: $x = \answer [tolerance=0.05]{\sage {zeros7[0]}}$

Larger solution: $x = \answer [tolerance=0.05]{\sage {zeros7[1]}}$

Solve the quadratic equation below.

$\sage {generalForm8} = 0$

Smaller solution: $x = \answer [tolerance=0.05]{\sage {zeros8[0]}}$

Larger solution: $x = \answer [tolerance=0.05]{\sage {zeros8[1]}}$

Solve the quadratic equation below.

$\sage {generalForm9} = 0$

Smaller solution: $x = \answer [tolerance=0.05]{\sage {zeros9[0]}}$

Larger solution: $x = \answer [tolerance=0.05]{\sage {zeros9[1]}}$

Solve the quadratic equation below.

$\sage {generalForm10} = 0$

Smaller solution: $x = \answer [tolerance=0.05]{\sage {zeros10[0]}}$

Larger solution: $x = \answer [tolerance=0.05]{\sage {zeros10[1]}}$