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10th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 10th Grade quadratics worksheet.

Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Quadratics

10th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 4 — Answers

Factor, then use the zero product property.

1.Solve: 2x2 + 20x + 32 = 0

Answer: x = -2 or x = −8

  1. Factor: (2x + 4)(x + 8) = 0
  2. 2x + 4 = 0 gives x = -2
  3. x + 8 = 0 gives x = −8
2.Solve: 3x2 + 2x − 16 = 0

Answer: x = − or x = 2

  1. Factor: (3x + 8)(x − 2) = 0
  2. 3x + 8 = 0 gives x = −
  3. x − 2 = 0 gives x = 2
3.Solve: 3x2 − 14x + 16 = 0

Answer: x = or x = 2

  1. Factor: (3x − 8)(x − 2) = 0
  2. 3x − 8 = 0 gives x =
  3. x − 2 = 0 gives x = 2
4.Solve: 2x2 + 11x − 40 = 0

Answer: x = or x = −8

  1. Factor: (2x − 5)(x + 8) = 0
  2. 2x − 5 = 0 gives x =
  3. x + 8 = 0 gives x = −8
5.Solve: 2x2 + 9x + 4 = 0

Answer: x = − or x = −4

  1. Factor: (2x + 1)(x + 4) = 0
  2. 2x + 1 = 0 gives x = −
  3. x + 4 = 0 gives x = −4
6.Solve: 3x2 − 36x + 81 = 0

Answer: x = 3 or x = 9

  1. Factor: (3x − 9)(x − 9) = 0
  2. 3x − 9 = 0 gives x = 3
  3. x − 9 = 0 gives x = 9
7.Solve: 3x2 + 4x − 4 = 0

Answer: x = or x = −2

  1. Factor: (3x − 2)(x + 2) = 0
  2. 3x − 2 = 0 gives x =
  3. x + 2 = 0 gives x = −2
8.Solve: 3x2 + 18x + 24 = 0

Answer: x = -2 or x = −4

  1. Factor: (3x + 6)(x + 4) = 0
  2. 3x + 6 = 0 gives x = -2
  3. x + 4 = 0 gives x = −4
9.Solve: 3x2 − 12 = 0

Answer: x = 2 or x = −2

  1. Factor: (3x − 6)(x + 2) = 0
  2. 3x − 6 = 0 gives x = 2
  3. x + 2 = 0 gives x = −2
10.Solve: 2x2 − 13x − 45 = 0

Answer: x = − or x = 9

  1. Factor: (2x + 5)(x − 9) = 0
  2. 2x + 5 = 0 gives x = −
  3. x − 9 = 0 gives x = 9
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