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Grade 9 GCF, Difference of Squares & Perfect Squares Worksheet with Answers

Grade 9 (US) · Year 10 (UK) · Class 9 (India) · Math

Unit 5: Polynomials & FactoringFactoringCCSS A-SSE.A.2

Factoring out a GCF and spotting differences of squares and perfect-square trinomials. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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GCF, Difference of Squares & Perfect Squares

Grade 9 · Math

Score___ / 12

Name

Class

Date

Learning goal: Factoring · CCSS A-SSE.A.2

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

Factor: x^2 - 16

Answer: (x + 4)(x - 4)

RememberMultiplying and factoring polynomials

1
Factor out the GCF: 6x^2 + 12x
Answer
2
Factor: x^2 - 64
Answer
3
Factor out the GCF: 16x^2 - 28x
Answer
4
Factor out the GCF: 16x^2 - 20x
Answer
5
Factor: x^2 + 22x + 121
Answer
6
Factor: x^2 - 6x + 9
Answer
7
Factor out the GCF: 24x^2 - 6x
Answer
8
Factor out the GCF: 3x^2 - 27x
Answer
9
Factor: x^2 - 1
Answer
10
Factor: x^2 - 81
Answer
11
Factor out the GCF: 12x^2 - 54x
Answer
12
Factor: x^2 - 100
Answer

★ Challenge corner for fast finishers

Without a calculator: 77^2 - 69^2 = ?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/9/special_factoring

Answer key (click to show)

1.6x(x + 2)
2.(x + 8)(x - 8)
3.4x(4x - 7)
4.4x(4x - 5)
5.(x + 11)^2
6.(x - 3)^2
7.6x(4x - 1)
8.3x(x - 9)
9.(x + 1)(x - 1)
10.(x + 9)(x - 9)
11.6x(2x - 9)
12.(x + 10)(x - 10)
★1168 (challenge corner)

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