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Math Grade 9-12

Factoring Polynomials

Factoring expressions using common factors, trinomials, and special patterns

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Practice factoring polynomial expressions by finding greatest common factors, factoring trinomials, and recognizing special products.

Factor each polynomial completely. Check whether a greatest common factor can be factored out first, and look for special patterns when possible.

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Factoring expressions using common factors, trinomials, and special patterns

Math - Grade 9-12

Instructions: Factor each polynomial completely. Check whether a greatest common factor can be factored out first, and look for special patterns when possible.
  1. 1

    Factor the expression 6x + 12.

  2. 2

    Factor the expression 5x^2 - 15x.

  3. 3

    Factor the trinomial x^2 + 7x + 12.

  4. 4

    Factor the trinomial x^2 - 9x + 20.

  5. 5

    Factor the expression x^2 - 25.

  6. 6

    Factor the expression 3x^2 + 12x + 12.

  7. 7

    Factor the trinomial x^2 + 2x - 15.

  8. 8

    Factor the expression 4x^2 - 16.

  9. 9

    Factor the trinomial 2x^2 + 7x + 3.

  10. 10

    Factor the trinomial 6x^2 + 11x + 3.

  11. 11

    Factor the expression x^2 - 10x + 25.

  12. 12

    Factor the expression 9x^2 - 24x + 16.

  13. 13

    Factor the polynomial 2x^3 + 8x^2 - 18x.

  14. 14

    Factor the polynomial x^3 - 4x^2 - 12x.

  15. 15

    Factor the expression 8x^3 - 27.

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