Quadratics Recap 1

Expanding Brackets

100

Expand and simplify (x+4)(x-2)

x²+2x-8

200

expand and simplify (3x+5)(x-2)

3x²-x-10

300

expand and simplify (5x-5)²

25x²-50x+25

400

expand and simplify (ax+b)(ax+c)

a²x²+abx+acx+bc

or

a²x²+(ab+ac)x+bc

500

Expand and simplify(x+1)(x+2)(x+3)

x³+6x²+11x+6

Monic Quadratics

100

factorise x²+7x+12

(x+3)(x+4)

200

factorise x²-9x+14

(x-2)(x-7)

300

factorise x² - 7x - 18

(x - 9)(x + 2)

400

factorise x²-x-20

(x+4)(x-5)

500

factorise x² +13x + 30

(x + 3)(x + 10)

Factorise

100

Factorise 2x² - 4x

x(2x - 4)

200

Factorise 6a² - 4ab

2a (3a - 2b)

300

Factorise 8x - 12y + 20z

4(2x - 3y + 5z)

400

Factorise 12 - 8a

4(3 - 2a)

500

Factorise -40 - 8b

-8 (5 + b)

Grouping to Factorise

100

Factorise 2x²+4x+3x+6

(2x+3)(x+2)

200

Factorise 3x²+9x+x+3

(3x+1)(x+3)

300

Factorise 3x² + 2x + 12x + 8

(x + 4)(3x + 2)

400

Factorise 3pq + q + 6p + 2

(3p + 1) (q + 2)

500

Factorise 2x - 4 + 6y - 3xy

(x - 2) (2 - 3y)