Factoring Quadratic Equations
Learning Objective
I can factor quadratic equations in the form ax² + bx + c.
Key Concepts
The standard form for a quadratic equation is Ax² + Bx + C = 0, where A, B, and C are integers.
To factor a quadratic in the form x² + Bx + C, find two numbers that multiply to C and add to B.
If (x + M)(x + N) = 0, then the solutions are x = -M or x = -N, because anything times zero is zero.
Practice Questions
This lesson includes 3 practice questions to reinforce learning.
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1. What two things must be true about the numbers you are looking for when factoring a quadratic in the form x² + bx + c?
2. Factor the following quadratic equation: x² + 5x + 6 = 0. What values of x would make this equation true?
3. Which of the following represents the factored form of 3x² + 7x + 2?
Educational Video
Solving Quadratics by Factoring
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