Quadratics Review

Diff of two squares

100

Fully Factorise

x² - 49

(x+7)(x-7)

200

Fully Factorise

x²-16y²

(x+4y)(x-4y)

300

Fully Factorise

x⁴-16

(x²+4)(x+2)(x-2)

Trinomial

100

Factorise

x²+8x+12

(x+2)(x+6)

200

Factorise

2x²+7x+3

(2x+1)(x+3)

300

Factorise

3x²-11x+10

(3x-5)(x-2)

Solving

100

Solve (x+7)(x-3)=0

x=-7 and x=3

200

Solve x²+7x+12=0

x=-3 and x=-4

300

Solve 3x²+7x-6=0

x=2/3 and x=3

Completing the square

100

Complete the square

y=x²-8x

y=(x-4)²-16

200

Complete the square

y=x²+6x-9

y=(x+3)²-18

300

Complete the square

y=2x²-20x+7

y=2(x-5)²-43