Solving Quadratics by Factoring Practice Test

Factor quadratics completely, apply the zero-product property, and solve every factor equation.

Solving Quadratics by Factoring Practice Test

This test has 20 questions

About This Solving Quadratics by Factoring Practice Test

This test focuses on solving, not merely identifying a factorization.

The questions include monic and nonmonic trinomials, common-factor equations, repeated roots, differences of squares, and equations that must first be moved to zero.

Skills Covered

Zero-product property, GCF factoring, trinomials, difference of squares, repeated roots, and nonmonic quadratics.

Key Ideas

  1. Put the equation in standard zero form.
  2. Factor completely, including any GCF.
  3. Set every factor equal to zero.
  4. A repeated factor produces one distinct solution.

Common Mistakes to Avoid

Do not stop at the factorization or ignore a factor that gives x=0.

Practice Format

Each question has four answer choices. The explanation shows the method, completes the algebra, states the conclusion, and explains why every distractor is incorrect.