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 + 3x − 54 =
- 2.x² + x − 12 =
- 3.x² + 5x + 4 =
- 4.x² + 6x − 7 =
- 5.x² − 5x − 14 =
- 6.x² + 14x + 48 =
- 7.x² − x − 30 =
- 8.x² − x − 42 =
- 9.2x² + 17x + 36 =
- 10.x² + 16x + 63 =
- 11.x² + 4x − 5 =
- 12.x² − 13x + 40 =
- 13.x² − 8x + 7 =
- 14.x² + 4x − 21 =
- 15.2x² − 19x + 35 =
- 16.x² − 4 =
- 17.3x² − 17x + 20 =
- 18.x² + 10x + 21 =
- 19.3x² − 4x − 20 =
- 20.x² + 3x − 4 =
- 21.2x² − 7x − 15 =
- 22.x² + 6x + 5 =
- 23.x² − 8x + 7 =
- 24.x² + 3x − 10 =
- 25.x² − 8x + 15 =
- 26.x² − 6x + 8 =
- 27.x² − 11x + 28 =
- 28.3x² − 2x − 8 =
- 29.3x² + 11x + 8 =
- 30.3x² − 31x + 36 =
- 31.3x² + 31x + 36 =
- 32.x² + 12x + 35 =
- 33.x² − 4x + 3 =
- 34.3x² − 10x − 25 =
- 35.x² + 2x − 3 =
- 36.2x² − 5x − 7 =
- 37.2x² + 9x − 81 =
- 38.3x² − 5x − 2 =
- 39.x² − 2x − 35 =
- 40.3x² − 7x − 20 =
Answer key
- (x − 6)(x + 9)
- (x − 3)(x + 4)
- (x + 4)(x + 1)
- (x + 7)(x − 1)
- (x − 7)(x + 2)
- (x + 8)(x + 6)
- (x − 6)(x + 5)
- (x + 6)(x − 7)
- (2x + 9)(x + 4)
- (x + 7)(x + 9)
- (x + 5)(x − 1)
- (x − 8)(x − 5)
- (x − 1)(x − 7)
- (x + 7)(x − 3)
- (2x − 5)(x − 7)
- (x − 2)(x + 2)
- (3x − 5)(x − 4)
- (x + 7)(x + 3)
- (3x − 10)(x + 2)
- (x + 4)(x − 1)
- (2x + 3)(x − 5)
- (x + 5)(x + 1)
- (x − 1)(x − 7)
- (x + 5)(x − 2)
- (x − 3)(x − 5)
- (x − 4)(x − 2)
- (x − 7)(x − 4)
- (3x + 4)(x − 2)
- (3x + 8)(x + 1)
- (3x − 4)(x − 9)
- (3x + 4)(x + 9)
- (x + 5)(x + 7)
- (x − 3)(x − 1)
- (3x + 5)(x − 5)
- (x − 1)(x + 3)
- (2x − 7)(x + 1)
- (2x − 9)(x + 9)
- (3x + 1)(x − 2)
- (x + 5)(x − 7)
- (3x + 5)(x − 4)
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