11th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 3 — 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 3 — Answers
Factor, then use the zero product property.
1.Solve: 3x2 − 14x − 49 = 0
Answer: x = − or x = 7
- Factor: (3x + 7)(x − 7) = 0
- 3x + 7 = 0 gives x = −
- x − 7 = 0 gives x = 7
2.Solve: 3x2 + 23x − 36 = 0
Answer: x = or x = −9
- Factor: (3x − 4)(x + 9) = 0
- 3x − 4 = 0 gives x =
- x + 9 = 0 gives x = −9
3.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
4.Solve: 3x2 − 20x + 12 = 0
Answer: x = or x = 6
- Factor: (3x − 2)(x − 6) = 0
- 3x − 2 = 0 gives x =
- x − 6 = 0 gives x = 6
5.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
6.Solve: 2x2 + 14x + 20 = 0
Answer: x = -2 or x = −5
- Factor: (2x + 4)(x + 5) = 0
- 2x + 4 = 0 gives x = -2
- x + 5 = 0 gives x = −5
7.Solve: 2x2 + 13x − 45 = 0
Answer: x = or x = −9
- Factor: (2x − 5)(x + 9) = 0
- 2x − 5 = 0 gives x =
- x + 9 = 0 gives x = −9
8.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
9.Solve: 2x2 + 5x − 25 = 0
Answer: x = or x = −5
- Factor: (2x − 5)(x + 5) = 0
- 2x − 5 = 0 gives x =
- x + 5 = 0 gives x = −5
10.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
Marking tips
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