# Mini-Quiz: Solving Quadratic Equations by Factoring

by Ron Kurtus (updated 18 January 2022)

Take this Mini-Quiz to check your understanding of the lesson material.

1. How do you solve (x − 5)(x + 7) = 0?

The equation cannot be solved

Set (x − 5) = 0 and (x + 7) = 0 and solve each for x

x = −5 + 7

2. What is the solution of the equation x2 − 25 = 0?

x = 25

You cannot factor an equation with a negative number

x = 5 and x = −5

3. Why can't you solve x2 + x + 1 = 0 by factoring?

The expression x2 + x + 1 cannot be factored with rational numbers

You can solve it by factoring, since: (x +1)(x + 1) = 0

The expression x2 + x + 1 cannot equal 0

If you got all three correct, you are on your way to becoming a Champion in Algebra. If you had problems, you had better look over the material again.

Be strong

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