Wayground
Quiz on Factoring (AC Method) - Printable Mathematics Worksheets - Wayground

Quiz on Factoring (AC Method)

12 questions

11th - 11th Grade

Mathematics

Quiz on Factoring (AC Method) is a Grade 11 mathematics worksheet with 12 multiple-choice questions on factoring quadratic polynomials. Students use the AC method to identify factor pairs, account for leading coefficients, handle signs, and write expressions in completely factored form. The set includes trinomials such as 2x² - 5x + 2, 4h² - 17h + 4, and expressions with a common factor such as 3x² - 6x - 24. This free printable worksheet helps teachers check whether students can connect a quadratic polynomial to its correct binomial factors rather than relying on pattern matching alone. The multiple-choice distractors highlight common errors involving signs, coefficients, and incomplete factoring, making the worksheet useful for independent practice, review, or a quick formative assessment. It includes a complete answer key for efficient checking.

Worksheet settings

Font size

S
M
L
XL
Worksheets

Quiz on Factoring (AC Method)

Total questions: 12

Name
Class
Date
1.
Factor:   3x2- 6x - 24
a)
(3x - 8)(x + 3)
b)
(3x + 4)(x - 6)
c)
3(x - 2)(x + 4)
d)
3(x + 2)(x - 4)
2.
Factor:  2x2 - 5x + 2
a)
(2x - 1)(x - 2)
b)
(2x + 1)(x - 2)
c)
(2x - 2)(x - 1)
d)
(2x + 2)(x - 1)
3.
Factor:
 2m² + 3m - 9
a)
2(m + 3)(m - 3)
b)
(2m - 3)²
c)
(m + 3)(2m - 3)
d)
(2m + 3)(m - 3)
4.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
5.
Factor
2x2 - 13x - 70
a)
(2x-7)(x+10)
b)
(7x+5)(x+2)
c)
(2x+7)(x-10)
d)
2(x+7)(x+10)
6.
Factor
5x2-28x+32
a)
(3x-10)(x+6)
b)
(x-8)(5x-4)
c)
(5x-8)(x-4)
d)
(5x-8)(x+7)
7.
Factor
4n2-17n-15
a)
(n-10)(6n+1)
b)
(4n-5)(n-3)
c)
(n-5)(4n-3)
d)
(n-5)(4n+3)
8.
Factor
4x2-25x+25
a)
4(x-5)(x+5)
b)
(x+5)(4x+5)
c)
(x-5)(4x-5)
d)
(x+2)(9x+1)
9.
Factor Completely: 5n² - 6n - 27
a)
(5n + 3)(n-9)
b)
(5n - 3)(n + 9)
c)
(5n + 9)(n - 3)
d)
(5n - 9)(n + 3)
10.
Factor:
 4h² - 17h + 4
a)
(2h - 2)²
b)
4(h + 4)(h + 1)
c)
(2h - 2)(2h + 2)
d)
(h - 4)(4h - 1)
11.
Factor the polynomial:
5x2 - 13x + 6
a)
(x + 3)(5x - 2)
b)
(x - 2)(5x - 3)
c)
(x + 2)(5x + 3)
d)
(x - 3)(5x + 2)
12.
Factor:
4x2 + 9x - 9
a)
(2x - 3)(2x + 3)
b)
(4x - 3)(x + 3)
c)
(4x + 3)(x - 3)
d)
Unfactorable.
Answer Key

Quiz on Factoring (AC Method)

Total questions: 12

1.
d) 3(x + 2)(x - 4)
2.
a) (2x - 1)(x - 2)
3.
c) (m + 3)(2m - 3)
4.
c) (3a+1)(a+1)
5.
c) (2x+7)(x-10)
6.
c) (5x-8)(x-4)
7.
d) (n-5)(4n+3)
8.
c) (x-5)(4x-5)
9.
d) (5n - 9)(n + 3)
10.
d) (h - 4)(4h - 1)
11.
b) (x - 2)(5x - 3)
12.
b) (4x - 3)(x + 3)

Browse by subjects

Browse by grades

Browse by format

FAQs

What does this worksheet cover?

This Grade 11 worksheet covers factoring quadratic trinomials using the AC method through 12 multiple-choice questions. Students select factor pairs for expressions with different leading coefficients, including cases with negative middle terms, and identify when a common factor must be included, as in 3x² - 6x - 24. Completing the set builds accuracy in matching a polynomial to its fully factored form.

How can I use this worksheet to teach factoring quadratic trinomials with the AC method?

Model the AC method with one item by multiplying the leading and constant coefficients, finding factor pairs, and using them to split the middle term before grouping. Then have students solve the remaining multiple-choice items and explain why the correct factors reproduce the original polynomial when multiplied. Use contrasting examples such as 2x² - 5x + 2 and 4x² - 25x + 25 to discuss coefficient placement and sign choices.

What mistakes should I watch for when students complete this factoring worksheet?

Watch for students choosing factors with the correct product but the wrong middle coefficient, especially in items such as 5x² - 28x + 32. Students may also lose a common factor in 3x² - 6x - 24, reverse signs when the constant or middle term is negative, or stop before writing a completely factored expression. Ask them to multiply each selected pair back together to verify both the leading coefficient and the middle term.

How do I assign and grade this factoring worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 12 multiple-choice questions. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or review responses from the digital quiz. The printable option can also support schools that are reducing screen time.

How can I differentiate this factoring worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the factoring expressions and answer choices are easier to compare. You can also apply a dyslexia-friendly font or translate the worksheet into another language. These options change the presentation of the 12 multiple-choice factoring items while keeping the mathematical practice intact.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

© 2026 Wayground Inc.

Accessibility and Inclusion