Quadratic Expressions and Equations

Factoring Quadratics I

100

Factorise x²+8x+12.

(x+6)(x+2)

200

Factorise m²-11m+18.

(m-9)(m-2)

300

Factorise x²+5x-24.

(x+8)(x-3)

400

Factorise y²-8y-20

(y-10)(y+2)

500

Factorise x²-13x-30

(x+2)(x-15)

Factoring Quadratics II

100

Factorise 2x²+7x+3.

(2x+1)(x+3)

200

Factorise 5n²+26n+5.

(5n+1)(n+5)

300

Factorise 3x²-10x+7.

(3x-7)(x-1)

400

Factorise 7x²-36x+5.

(7x-1)(x-5)

500

Factorise 2x²-12x+10 completely.

2(x-1)(x-5)

Factoring Quadratics III

100

Factorise m²-100

(m-10)(m+10)

200

Factorise a²-256

(a-16)(a+16)

300

Factor 4x²-9

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

400

Factorise -9+16x²

(4x-3)(4x+2)

500

Factorise 3b²-27 completely.

3(b-3)(b+3)

Factoring by common factor

100

Factorise 12h+8.

4(3h+2)

200

Factorise 5a²-7a.

a(5a-7)

300

Factorise 10c²-25c.

5c(2c-5)

400

Factorise 18b²d+36bd².

18bd(b+2d)

500

Factorise 12a-24a²+36a³.

12a(1-2a+3a²)

Solving quadratic

100

Solve x²+2x+1=0.

x=-1

200

Solve b²-25=0.

b=5 or b=-5

300

Solve x²+2x-15=0.

x=3 or x=-5

400

Solve 2x²+7x-15=0.

y=-5 or y=3/2

500

Solve (2x-1)(x-4)=9.

x=5 or x=-1/2