Factorising Quadratics Worksheet
The trick (Anurupyena): x² + bx + c: two numbers that multiply to c and add up to b → (x + one)(x + other). ax² + bx + c: multiply a × c; find two numbers that multiply to that and add up to b; split the middle term with them. Group the four terms in pairs and take out the common bracket. Check by multiplying back.
NameDateTime takenScore ___ / 40
- 1.x² − 2x − 63 =
- 2.2x² + 25x + 72 =
- 3.x² − 11x + 18 =
- 4.3x² + 2x − 1 =
- 5.3x² − 7x − 20 =
- 6.x² + 3x − 54 =
- 7.3x² − 4x + 1 =
- 8.3x² + x − 14 =
- 9.x² − 81 =
- 10.x² − 6x + 8 =
- 11.x² − 5x + 4 =
- 12.2x² + 7x + 5 =
- 13.x² + x − 42 =
- 14.x² − 3x − 10 =
- 15.3x² + 34x + 80 =
- 16.x² − x − 20 =
- 17.3x² + 11x + 8 =
- 18.3x² + 4x + 1 =
- 19.x² + 17x + 72 =
- 20.2x² + 5x − 7 =
- 21.2x² + 3x − 9 =
- 22.x² + x − 20 =
- 23.x² − 8x + 7 =
- 24.x² + 2x − 24 =
- 25.2x² + 25x + 72 =
- 26.x² + 9x + 18 =
- 27.2x² − 15x + 18 =
- 28.2x² − 5x − 25 =
- 29.x² − 4x − 45 =
- 30.2x² + 21x + 27 =
- 31.3x² − 7x − 20 =
- 32.2x² − 9x + 10 =
- 33.3x² − 28x + 9 =
- 34.x² − 13x + 40 =
- 35.x² − 1 =
- 36.x² + 7x + 6 =
- 37.x² − 2x − 63 =
- 38.x² + 10x + 21 =
- 39.2x² + 9x − 81 =
- 40.x² + 3x − 10 =
Answer key
- (x − 9)(x + 7)
- (2x + 9)(x + 8)
- (x − 9)(x − 2)
- (3x − 1)(x + 1)
- (3x + 5)(x − 4)
- (x − 6)(x + 9)
- (3x − 1)(x − 1)
- (3x + 7)(x − 2)
- (x − 9)(x + 9)
- (x − 2)(x − 4)
- (x − 1)(x − 4)
- (2x + 5)(x + 1)
- (x − 6)(x + 7)
- (x − 5)(x + 2)
- (3x + 10)(x + 8)
- (x + 4)(x − 5)
- (3x + 8)(x + 1)
- (3x + 1)(x + 1)
- (x + 8)(x + 9)
- (2x + 7)(x − 1)
- (2x − 3)(x + 3)
- (x − 4)(x + 5)
- (x − 1)(x − 7)
- (x + 6)(x − 4)
- (2x + 9)(x + 8)
- (x + 3)(x + 6)
- (2x − 3)(x − 6)
- (2x + 5)(x − 5)
- (x + 5)(x − 9)
- (2x + 3)(x + 9)
- (3x + 5)(x − 4)
- (2x − 5)(x − 2)
- (3x − 1)(x − 9)
- (x − 8)(x − 5)
- (x − 1)(x + 1)
- (x + 6)(x + 1)
- (x + 7)(x − 9)
- (x + 3)(x + 7)
- (2x − 9)(x + 9)
- (x + 5)(x − 2)
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