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Factoring trinomials worksheet

To factor x² + bx + c, look for two integers that multiply to c and add to b. These ten questions build that habit, with answers listed underneath.

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Ten questions

Print this page, or copy the questions onto paper. Every answer is listed underneath.

  1. Factor x²-16x+64 into two integer binomials.

  2. Factor x²-4x-32 into two integer binomials.

  3. Factor x²-5x-14 into two integer binomials.

  4. Factor x²-8x+12 into two integer binomials.

  5. Factor x²-7x+10 into two integer binomials.

  6. Factor x²-2x-8 into two integer binomials.

  7. Factor x²+x-12 into two integer binomials.

  8. Factor x²+5x-14 into two integer binomials.

  9. Factor x²+7x+12 into two integer binomials.

  10. Factor x²+10x+25 into two integer binomials.

Show answers
  1. 1. (x-8)(x-8)
  2. 2. (x-8)(x+4)
  3. 3. (x-7)(x+2)
  4. 4. (x-6)(x-2)
  5. 5. (x-5)(x-2)
  6. 6. (x-4)(x+2)
  7. 7. (x-3)(x+4)
  8. 8. (x-2)(x+7)
  9. 9. (x+3)(x+4)
  10. 10. (x+5)(x+5)

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