FACTORISATION

Trinomial 1

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: m²-11m+18

(m-9)(m-2)

300

Factor into two binomials: x²+5x-24

(x+8)(x-3)

400

Factor into two binomials: y²-6y-7

(y-7)(y+1)

500

Factor into two binomials: x²-x-56

(x-8)(x+7)

Trinomial 2

100

Factor into two binomials: 2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials: 5n²+26n+5

(5n+1)(n+5)

300

Factor into two binomials: 3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

500

Factor into two binomials: 2x²-12x+10

(2x-2)(x-5)

DOTS

100

Factorise x² - 121

(x+11) (x-11)

200

Factorise 16x² -  49

(4x + 7) (4x - 7)

300

Factorise 25x² - 36y²

(5x + 6y) (5x - 6y)

400

Factorise 289m² - 169n²

(17m + 13n) (17m - 13n)

500

Factorise 81a⁴b⁶ - 256c²d⁸

(9a²b³ + 16cd⁴) (9a²b³ - 16cd⁴)

GCMF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

Factor by GCF: 18x³-6x

6x(3x²-1)

300

Factor by GCF: 8-4a²

4(2-a²)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Polynomials

100

Factorise ac + 3ad + 2bc + 6bd

(a + 2b) (c + 3d)

200

Factorise 6mn + 2mp + 9n + 3p

(2m + 3) (3n +p)

300

Factorise 21wy + 12wx +35xy +20xz

(3w + 5x) (7y + 4z)

400

Factorise 15ac + 40ad - 21bc - 56bd

(5a - 7b) (3c + 8d)

500

Factorise 117mp - 45mq - 104np + 40nq

(9m - 8n) (13p - 5q)