Quadratic Expressions

Factoring Quadratics I

100

Factor: x²+8x+12

(x+6)(x+2)

200

Factor: m²-11m+18

(m-9)(m-2)

300

Factor: x²+5x-15

(x+8)(x-3)

400

Factor: x²-13x-30

(x+2)(x-15)

500

Factor: y²-6y-7

(y-7)(y+1)

Factoring Quadratics II

100

Factor: 2x²+7x+3

(2x+1)(x+3)

200

Factor: 5n²+26n+5

(5n+1)(n+5)

300

Factor: 3x²-10x+7

(3x-7)(x-1)

400

Factor: 7x²-36x+5

(7x-1)(x-5)

500

Factor: 3x²-7x-10

(3x-10)(x+1)

Factoring Quadratics III

100

Factor: 3x²+12

3(x+4)

200

Factor: x²+10x

x(x+10)

300

Factor: 4x²-16x

4x(x-4)

400

Factor: 18x²y+6x

6x(3xy+1)

500

Factor: 9x²y³-21xy⁴

3xy³(3x-7y)

Special Cases

100

Factor: d²-16

(d-4)(d+4)

200

Factor: x²-169

(x-13)(x+13)

300

Factor: 4x²-9

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

400

Factor: 36x²-49

(6x-7)(6x+7)

500

Factor: 1-25x²

(1-5x)(1+5x)

Multiplying Binomials

100

Find the product: (x+12)(x+5)

x²+17x+60

200

Find the product: (x-7)(x+4)

x²-3x-28

300

Find the product: (3x+1)(x+9)

3x²+28x+9

400

Find the product: (x+9)(7x-3)

7x²+60x-27

500

Find the product: (5x-2)(4x-3)

20x²-23x+6