Factoring Quadratics Practice Test

Factor quadratic expressions completely and use factored form to solve equations and interpret models.

Factoring Quadratics Practice Test

20 quadratic factoring questions from simple trinomials through nonmonic forms.

About This Factoring Quadratics Practice Test

Quadratic factoring is central to solving equations, finding zeros, graphing parabolas, and simplifying rational expressions.

The questions include monic and nonmonic quadratics, perfect squares, differences of squares, GCF-first expressions, prime quadratics, parameter problems, equations, and geometric applications.

Skills Covered

You will use factor pairs, the ac method, grouping, special products, GCFs, and the zero-product property.

How to Approach the Questions

  1. Put the quadratic in standard form.
  2. Factor out any GCF.
  3. For ax²+bx+c, find a useful split of b using ac.
  4. Check by multiplying the factors and combining middle terms.

Common Mistakes to Avoid

Typical mistakes include choosing factors with the correct product but wrong sum, losing signs, forgetting the leading coefficient, and failing to factor a GCF first.

Practice Format

Use this free 20-question test for classroom review, tutoring, homework support, exam preparation, or independent practice. Each response is followed by an explanation, and the test can be repeated without registration.