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Factoring trinomials worksheets Grades 8–9

Factor x² + bx + c by finding two numbers that multiply to c and add to b.

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How to do it

For x² + bx + c, find two numbers that multiply to c and add to b.

x2+x−30=(x−5)(x+6)x^{2} + x - 30 = (x - 5)(x + 6)
Multiply to −30, add to 1:−5 and 6\text{Multiply to }-30,\ \text{add to }1:\quad -5\ \text{and }6check: −5 × 6 = −30

Example problems

  1. x2+11x+18=x^{2} + 11x + 18 =
  2. x2+5x−14=x^{2} + 5x - 14 =
  3. x2−11x+18=x^{2} - 11x + 18 =
  4. x2−2x−24=x^{2} - 2x - 24 =

Polynomials and factoring

  1. Exponent rules
  2. Adding and subtracting polynomials
  3. Multiplying a monomial by a polynomial
  4. Multiplying binomials (FOIL)
  5. Special products
  6. Factoring out the GCF
  7. Factoring trinomials
  8. Factoring trinomials with a leading coefficient
  9. Factoring the difference of squares