Algebra 2

subtracting polynomials

100

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

-x+1

200

(5x+4)-(2x+2)

3x+2

300

(15x+17)-(17x+15)

-2x+2

400

(7x+5)-(3x-5)

4x+10

500

(15x²+17x+5)-(-15x²+13x-7)

30x²+4+12

adding polynomials

100

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

5x

200

(5x-3)+(7x-4)

12x-7

300

(12x-6x²-9)+(-8+12x²+13)

4x+6x²+4

400

(22x²-11x+16)+(-12x+11--13x²)

9x²-23x+27

500

(27x³-11+16x²+12x)+(-13x²-10x+11-32x³)

-5x³+3x²+2x

synthetic division

100

(2x+1)/(x-2)

2+ 5/(x-2)

200

(2x²+5x+2)/(x-3)

4x+11+ 36/(x-3)

300

(x³+5x²+7x-40)/(x-2)

x²+7x+21+ 2/(x-2)

400

(4x⁴-17³-14x²-20)/(x+2)

4x³+3x²+x+5

500

(6x⁶-390)/(x+2)

6x⁵-12x⁴+24³-48x²+96x-192- 6/(x+2)

multiplying polynomials

100

(3x⁵)(4x²)

12⁷

200

(3x-4y)(5x-2y)

15x-8y

300

(3x²y⁴)(5xy⁸)

15x³y¹²

400

3x²(2x²)+3x²(-4x)+3x²(1)

6x⁴-12x³+3x2

500

(x²-3x+2)(x²-4x-6)

8x²+10x-12

Operations of Complex Numbers

100

(3-2i)+(4+5i)

(7+3i)

200

(1-7i)-(1-5i)

-2i

300

(3+2i)(1-4i)

11-10i

400

(3+2i)/5-i

15+15i/25-i²

500

(5-2i)(5+2i)

29