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Grade 8 Polynomials Worksheet with Answers

Grade 8 (US) · Year 9 (UK) · Class 8 (India) · Math

Unit 7: Going FurtherAdvanced: Algebra I PreviewCCSS A-APR.A.1Advanced

Adding, subtracting, multiplying and factoring polynomials. This free middle 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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Polynomials

Grade 8 · Math

Score___ / 12

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Learning goal: Advanced: Algebra I Preview · CCSS A-APR.A.1

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

Example

Multiply: (4x + 8)(x + 7)

Answer: 4x² + 36x + 56

RememberMultiplying and factoring polynomials

x+3x+2x²3x2x6(x + 2)(x + 3) = x² + 5x + 6Factoring x² + bx + c: find twonumbers that multiply to c and add to b.a² − b² = (a + b)(a − b)(a + b)² = a² + 2ab + b²
  1. 1

    Multiply: (6x + 2)(4x + 5)

    Answer
  2. 2

    Multiply: (5x + 8)(4x + 8)

    Answer
  3. 3

    Multiply: (x + 9)(6x + 4)

    Answer
  4. 4

    Multiply: (4x + 7)(3x + 1)

    Answer
  5. 5

    Multiply: (x + 1)(3x + 8)

    Answer
  6. 6

    Multiply: (5x + 1)(3x + 3)

    Answer
  7. 7

    Multiply: (2x + 1)(2x + 2)

    Answer
  8. 8

    Multiply: (6x + 7)(4x + 4)

    Answer
  9. 9

    Multiply: (2x + 9)(5x + 2)

    Answer
  10. 10

    Multiply: (3x + 5)(2x + 6)

    Answer
  11. 11

    Multiply: (6x + 5)(2x + 9)

    Answer
  12. 12

    Multiply: (4x + 9)(5x + 4)

    Answer

★ Challenge corner for fast finishers

Each scale balances. Scale 1: circle + square = 26; scale 2: square + triangle = 22; scale 3: circle + circle = 24. What is one triangle worth?

26Scale 122Scale 224Scale 3

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Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/8/polynomials

Answer key (click to show)
  1. 1.24x² + 38x + 10
  2. 2.20x² + 72x + 64
  3. 3.6x² + 58x + 36
  4. 4.12x² + 25x + 7
  5. 5.3x² + 11x + 8
  6. 6.15x² + 18x + 3
  7. 7.4x² + 6x + 2
  8. 8.24x² + 52x + 28
  9. 9.10x² + 49x + 18
  10. 10.6x² + 28x + 30
  11. 11.12x² + 64x + 45
  12. 12.20x² + 61x + 36
  13. ★8 (challenge corner)

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  • Works well as a bell-ringer, exit ticket, homework set or quick quiz.
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Guides for teaching Polynomials

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