11th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 11th Grade quadratics worksheet.
Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Quadratics11th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 4 — Answers
Factor, then use the zero product property.
1.Solve: 2x2 − 13x − 7 = 0
Answer: x = − or x = 7
- Factor: (2x + 1)(x − 7) = 0
- 2x + 1 = 0 gives x = −
- x − 7 = 0 gives x = 7
2.Solve: 3x2 + 30x + 27 = 0
Answer: x = -1 or x = −9
- Factor: (3x + 3)(x + 9) = 0
- 3x + 3 = 0 gives x = -1
- x + 9 = 0 gives x = −9
3.Solve: 3x2 − 25x + 8 = 0
Answer: x = or x = 8
- Factor: (3x − 1)(x − 8) = 0
- 3x − 1 = 0 gives x =
- x − 8 = 0 gives x = 8
4.Solve: 2x2 − 6x − 56 = 0
Answer: x = -4 or x = 7
- Factor: (2x + 8)(x − 7) = 0
- 2x + 8 = 0 gives x = -4
- x − 7 = 0 gives x = 7
5.Solve: 3x2 + 16x − 12 = 0
Answer: x = or x = −6
- Factor: (3x − 2)(x + 6) = 0
- 3x − 2 = 0 gives x =
- x + 6 = 0 gives x = −6
6.Solve: 3x2 + 24x + 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
7.Solve: 3x2 + 24x + 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
8.Solve: 2x2 + 11x + 15 = 0
Answer: x = − or x = −3
- Factor: (2x + 5)(x + 3) = 0
- 2x + 5 = 0 gives x = −
- x + 3 = 0 gives x = −3
9.Solve: 2x2 + 13x + 6 = 0
Answer: x = − or x = −6
- Factor: (2x + 1)(x + 6) = 0
- 2x + 1 = 0 gives x = −
- x + 6 = 0 gives x = −6
10.Solve: 3x2 + 18x + 15 = 0
Answer: x = -1 or x = −5
- Factor: (3x + 3)(x + 5) = 0
- 3x + 3 = 0 gives x = -1
- x + 5 = 0 gives x = −5
Marking tips
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