10th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 10th Grade quadratics worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Quadratics10th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Answers
Factor, then use the zero product property.
1.Solve: 2x2 + 2x − 40 = 0
Answer: x = 4 or x = −5
- Factor: (2x − 8)(x + 5) = 0
- 2x − 8 = 0 gives x = 4
- x + 5 = 0 gives x = −5
2.Solve: 3x2 + 32x + 45 = 0
Answer: x = − or x = −9
- Factor: (3x + 5)(x + 9) = 0
- 3x + 5 = 0 gives x = −
- x + 9 = 0 gives x = −9
3.Solve: 2x2 − 11x + 12 = 0
Answer: x = or x = 4
- Factor: (2x − 3)(x − 4) = 0
- 2x − 3 = 0 gives x =
- x − 4 = 0 gives x = 4
4.Solve: 2x2 − 7x + 3 = 0
Answer: x = or x = 3
- Factor: (2x − 1)(x − 3) = 0
- 2x − 1 = 0 gives x =
- x − 3 = 0 gives x = 3
5.Solve: 3x2 − 3x − 18 = 0
Answer: x = 3 or x = −2
- Factor: (3x − 9)(x + 2) = 0
- 3x − 9 = 0 gives x = 3
- x + 2 = 0 gives x = −2
6.Solve: 3x2 − 18x − 21 = 0
Answer: x = -1 or x = 7
- Factor: (3x + 3)(x − 7) = 0
- 3x + 3 = 0 gives x = -1
- x − 7 = 0 gives x = 7
7.Solve: 2x2 + 3x − 2 = 0
Answer: x = or x = −2
- Factor: (2x − 1)(x + 2) = 0
- 2x − 1 = 0 gives x =
- x + 2 = 0 gives x = −2
8.Solve: 3x2 + 12x − 36 = 0
Answer: x = 2 or x = −6
- Factor: (3x − 6)(x + 6) = 0
- 3x − 6 = 0 gives x = 2
- x + 6 = 0 gives x = −6
9.Solve: 2x2 − 3x − 5 = 0
Answer: x = or x = −1
- Factor: (2x − 5)(x + 1) = 0
- 2x − 5 = 0 gives x =
- x + 1 = 0 gives x = −1
10.Solve: 2x2 − 18 = 0
Answer: x = 3 or x = −3
- Factor: (2x − 6)(x + 3) = 0
- 2x − 6 = 0 gives x = 3
- x + 3 = 0 gives x = −3
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