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 3x²+9x+6

3(x+2)(x+1)

400

factorise x²-x-20

(x+4)(x-5)

500

factorise x²+2.5x+1

(x+0.5)(x+2)

Difference of Squares

100

Expand (x+3)(x-3)

x²-9

200

factorise x²-16

(x+4)(x-4)

300

Factorise x²-7

(x+root7)(x-root7)

400

factorise 9x²-25

(3x+5)(3x-5)

500

Factorise 4x²-32

4(x+2root2)(x-2root2)

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 6x²+13x+6

(3x+2)(2x+3)

400

Factorise 7x²+2x-5

(7x-5)(x+1)

500

Factorise 2x²-9x-5

(2x+1)(x-5)