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This worksheet provides practice problems for factorising quadratic equations where the coefficient of x² is greater than 1.

Factorising quadratic equations worksheet sheet 9 with 16 algebra problems to solve.

Factorising quadratic equations worksheet sheet 9 with 16 algebra problems to solve.

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Show Answer Key & Explanations Step-by-step solution for: Factoring Quadratic Equations
1) 2x² + 5x + 2 = 0 → (2x + 1)(x + 2) → x = -½ or -2
2) 2x² + 4x + 2 = 0 → (2x + 2)(x + 1) → x = -1
3) 2y² + 11y + 5 = 0 → (2y + 1)(y + 5) → y = -½ or -5
4) 2y² + 7y + 5 = 0 → (2y + 5)(y + 1) → y = -5/2 or -1
5) 2z² + 7z + 6 = 0 → (2z + 3)(z + 2) → z = -3/2 or -2
6) 2z² + 8z + 6 = 0 → (2z + 2)(z + 3) → z = -1 or -3
7) 2a² + 12a + 10 = 0 → (2a + 2)(a + 5) → a = -1 or -5
8) 2a² + 9a + 10 = 0 → (2a + 5)(a + 2) → a = -5/2 or -2
9) 2b² - 7b + 3 = 0 → (2b - 1)(b - 3) → b = ½ or 3
10) 2b² - 5b + 3 = 0 → (2b - 3)(b - 1) → b = 3/2 or 1
11) 2c² - 9c + 4 = 0 → (2c - 1)(c - 4) → c = ½ or 4
12) 2c² - 6c + 4 = 0 → (2c - 2)(c - 2) → c = 1 or 2
13) 2d² - 10d + 8 = 0 → (2d - 2)(d - 4) → d = 1 or 4
14) 2d² - 8d + 8 = 0 → (2d - 4)(d - 2) → d = 2
15) 2e² - 15e + 7 = 0 → (2e - 1)(e - 7) → e = ½ or 7
16) 2e² - 9e + 7 = 0 → (2e - 7)(e - 1) → e = 7/2 or 1
Parent Tip: Review the logic above to help your child master the concept of factoring expressions worksheet 7th grade.
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