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Solving quadratic equations by factoring worksheets Grade 9

Factor, set each factor equal to 0, and solve.

The front of the free solving quadratic equations by factoring worksheet

Free · Worked example · 14 problems · Answer key · US Letter

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How to do it

Factor, set each factor equal to 0, and solve.

x2−7x−18=0x^{2} - 7x - 18 = 0
(x+2)(x−9)=0(x + 2)(x - 9) = 0multiply to −18, add to −7
x+2=0or x−9=0x + 2 = 0\quad \text{or }x - 9 = 0a product is 0 only if a factor is 0
x=−2 or x=9x = -2\ \text{or }x = 9

Example problems

  1. x2−6x−7=0x^{2} - 6x - 7 = 0
  2. x2−49=0x^{2} - 49 = 0
  3. x2−17x+72=0x^{2} - 17x + 72 = 0
  4. x2+3x=0x^{2} + 3x = 0

Radicals, quadratics and rational expressions

  1. Simplifying square roots
  2. Adding and multiplying radicals
  3. Solving quadratic equations by factoring
  4. Completing the square
  5. The quadratic formula
  6. Simplifying rational expressions
  7. Multiplying and dividing rational expressions