Sumner Polynomials and Factoring

Adding and Subtracting

100

(2x³-5x²+x)+(2x²+x³-1)

(2x³-5x²+x)+(2x²+x³-1) 3x³-3x²+x-1

200

(3x²+x-6)+(x²+4x+10)

4x²+5x+4

300

(4n²+5)-(-2n²+2n-4)

6n²-2n+9

400

(4x²-7x)-(5x²+4x-9)

-x²-11x+9

500

(5x³+4x-2x)+(4x²+3x³-6)

8x³+4x²+2x-6

Multiplying

100

2x³(x³+3x²-2x+5)

2x⁶+6x⁵-4x⁴+10x³

200

(x+3)(2x+1)

2x²+7x+3

300

(x-4)(3x+2)

3x²-10x-8

400

(4n-1)(n+5)

4n²+19n-5

500

(4n-1)(3n²+5)

12n³-3n²+20n-5

Factoring

100

Factor x²+24x+63

(x+3)(x+21)

200

Factor x²+6x+9

(x+3)²

300

Factor 16x²-8xy+y²

(4x-1y)²

400

Expand (5x-2y)²

25x²-20xy+4y²

500

Factor 300x²-3

3(10x+1)(10x-1)

mixed

100

Factor 12x+42y

6(2x+7y)

200

Solve: n(n-5)=0

n=0 or 5

300

Factor 2x²+8x

2x(x+4)

400

Find the zeros

y=(x-4)(x+2) 

x=4 or x=-2

500

Find the zeros:

y=(x-5)(x-1)

x=5 or x=1

Factoring

100

x²+11x+18

(x+9)(x+2)

200

x²+3x-18

(x+6)(x-3)

300

n²-6n+8

(n-4)(n-2)

400

x²+2x-15

(x-3)(x+5)

500

x²+29x+100

(x+25)(x+4)