Polynomials

Adding Polynomials

100

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

5x+3y

200

(-5x²-10x+2)+(3x²+7x-4)

-2x²-3x-2

300

(5x⁴-3x²+4)+(6x³-4x²-7)

5x⁴+6x³-7x²-3

400

(7x²-x-4)+(x²-2x-3)+(-2x²+3x+5)

6x²-2

500

(x³+5x²-2x)+(x³+3x-6)+(-2x²+x-2) 

2x³+2x²+2x-8

Subtracting Polynomials

100

(4x-6)-(10x+9)

= -6x-3

200

(50x-20x)-(33x+15x)

=17x-35x

300

(4x²-3x+5)-(8x²-4x+3) 

=-4x²+X+2 

400

(4x²+7x³+50)-(3x²+5x³-40) 

=X²+2x³+90 

500

(10x³-6x²+2x+30)-(20x³+30) 

=-10x³-6x²+2x 

Multiplying Polynomials

100

(4x+3)²

= 16x²+24x+9

200

(4x+3)(25x+3)

=100x²+87x+9

300

(2x+3)(5x²+2x-1)

= 10x³+19x²-4x-3

400

(3x-5)(2x²-4x+7)

= 6x³-22x²+41x-35

500

5x²y(7x²-4xy²+2y³⁾

= 35x⁴y-20x³y³+10x²y⁴

Dividing Polynomials

100

 (3x²+6x+12) divided by (X+3)

3x-3+21 divided by x+3

200

(x⁴+10x²-2x-20) divided by (x+3)

x³+2x²+14x+26+32 divided by x-2

300

(-x⁴-10x-4)(x-4)^-1

-x³-4x²-16x+45 +212 divided by x-4

400

(X⁵-2x+x³-5) divided by (x+1)

x⁴-x³+2x²-2x-6 divided by x+1

500

(x⁶-2x⁵-8x⁴=3x²-10) divided by (x-2)

x⁵-8x³-16x²+35x+70+130 divided by x-2

Powers of I

100

i⁵

= i

200

i⁸²

= -1

300

i²⁵

= i

400

i⁵²⁸

1

500

i^9,862

= -1