Basic Algebra/Solving Quadratic Equations/Solving Quadratic Equations by Factoring

Lesson

The easiest way to solve a quadratic equation is to factor the problem. Steps:

1. Make "Y" a zero.
2. list all the factors of "a" in y=ax²+bx+c.
3. List all the factors of "c" in y=ax²+bx+c.
4. See which factors can be used in such a way that when added or subtracted together they equal "b"

Example Problems

y=x²+2x+1

1. a=1 1*1=1
2. c=1 1*1=1
3. b=2 1+1=2

0=(x+1)(x+1) or 0=(x+1)² x=-1

Practice Problems

Easy

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Medium

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Hard