Polynomials

Addition

100

Add: (x²+3)+(2x²-2)

3x²+1

200

Add: (x²+2x-6)+(5x²-3x+12)

(6x²-1x+6)

300

Add: (3x³+6x-12)+(6x³+6x-10)

9x³+12x-22

400

Add: (x³+6x+7)+(3x²-4x-12)

x³+3x²+2x-5

500

Add: (-6x⁴+3x³+2x+5)+(6x³-3x²+2x-5)

-6x⁴+9x³-3x²+4x

Subtraction

100

Subtract: (x²+3)-(2x²-2)

-x²+5

200

Subtract: (x²+2x-6)-(5x²-3x+12)

-4x²+5x-18

300

Subtract: (3x³+6x-12)-(6x³+6x-10)

-3x³-2

400

Subtract:  (x³+6x+7)-(3x²-4x-12)

x³-3x²+10x+19

500

Subtract:  (-6x⁴+3x³+2x+5)-(6x³-3x²+2x-5)

-6x⁴-3x³+3x²+10

Multiplication

100

Multiply: (x+3)(x+5)

x²+8x+15

200

Multiply: (x+5)(x-9)

x²-4x-45

300

multiply: (2x+6)(3x-1)

6x²+16x-6

400

multiply: (x+3)(x²-6x+4)

x³-3x²-14x+12

500

Multiply: (2x+1)(x²-3x+4)

2x³+5x²+5x+4

Divison

100

Divide: (x²+8x+7)/(x+7)

x+1

200

Divide: (x³+5x²+7x+3)/(x+3)

x²+2x+1

300

Divide: (x²+6x+15)/(x+5)

x+1+(10/x+5)

400

Divide: (x³-2x+1)/(x-1)

x²-x-1

500

Divide: (x⁴+x²)/(x-2)

x³+2x²+5x+10+20/(x-2)

Composition

100

If f(x)=3x and g(x)=2x, what is f(g(x))

6x

200

If f(x)=x² and g(x)=3x, what is f(g(x))

9x²

300

If f(x)=3x and g(x)=2x, what is f(g(3))

18

400

If f(x)=2x² and g(x)=3x, what is f(g(-1))

18

500

If f(x)=3x+1 and g(x)=5x, what is f(g(-4))

-59