Algebra II

Adding Polynomials

100

(-5x+12)+(8x-1)

3x+11

200

(9x²-2x+3)+(10x+2)

9x²+8x+5

300

(7x²-8x-12)+(2x²-3x-12)

9x²-11x-24

400

(12x³+2x²-x+10)+(-2x²+2x-10)

12x³+x²+x

500

(22x³+10x-16)+(2x+13)

22x³+12-3

Subtracting Polynomials

100

(x+3)-(13x-2)

-12x+5

200

(-3x+12)-(-2x-2)

-x+14

300

(x²+2x+33)-(-3x+22)

x²+5x+11

400

(2x²-3x + 4) - (3x² + 5x + 8)

x²+ 8x + 4

500

(5x³+2x²-4x+3)-(-2x³-2x²+4x-6)

7x³+4x²+8x+9

Multiplying Polynomials

100

6x(2x+3)

12x²+18x

200

7(-5x-8)

-35x-56

300

(2x+2)(6x+1)

12x²+14x+2

400

(6x+8)(5x-8)

30x²-8x-64

500

(2x-1)(8x-5)

16x²-18x+5

Dividing Polynomials

100

(n2+6n-27)÷ (n-3)

1n+9

200

(x2+6x+15)÷(x-5)

1x+11+70  remainder x-5

300

(x3+2x2-5x+2)÷(x-1)

x2+3x-2

400

(2x3-5x2-x+3)÷ (x+3)

2x2-11x+32+-93÷ x+3

500

(x4-2x2+3x+2)÷ (x-3)

x3-3x2+7x-18-52x-3

Binomial Expansion

100

(a+b)⁴

1a⁴+4a3b+6a2b²+4ab³+1b⁴

200

(a+b)²

1a+1b

300

(x+2)³

1x³+6x²+12x+8

400

(x-2)²

1x⁶-12x⁵+60x⁴+160x³-240²-192x^-64

500

(2x+2a)⁴

16x⁴+64x3y+96x2y²+64xy³+16y⁴