Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a factoring polynomials quiz? Then this Algebra 1 quiz on Factoring Polynomials with Patterns and Grouping asks 10 multiple-choice questions with instant feedback. This quiz has 10 multiple-choice questions on factoring. Each question has one correct option and three distractors built from typical sign and pattern mistakes. Read the explanation after each answer.
Standards: A-SSE.A.2, A-SSE.B.3a · Level: Grade 9 Algebra 1
What this Factoring Polynomials with Patterns and Grouping quiz checks
- Take out the greatest common factor before anything else.
- For x² + bx + c, find two integers with product c and sum b.
- a² − b² = (a + b)(a − b) and a² ± 2ab + b² = (a ± b)².
- Four terms often factor by grouping in pairs.
- Zero-product property: if (x − r)(x − s) = 0 then x = r or x = s.
The 10 questions of the quiz
- Which monomial divides both 28x³ and 42x² and is as large as possible?
- Which is the factored form of x² + 8x + 15?
- Factor x² − 5x − 14.
- Factor 49x² − 9.
- Factor x² − 12x + 36.
- The area model shows a rectangle with regions 2x², x, 6x and 3.Which factorization of 2x² + 7x + 3 does it show?
- The parabola shown crosses the x-axis at −3 and 2.Which equation could it be?
- What are the solutions of (x − 4)(x + 9) = 0?
- Factor 6x² + x − 2.
- Which expression is completely factored?
After the quiz
Missed a question? Reread the Factoring Polynomials with Patterns and Grouping lesson, then take the quiz again. Next, solve the Algebra 1 worksheet on Factoring Polynomials with Patterns and Grouping, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.