Function Operations

Addition

100

(5a⁴-6a+8a²) + (a³+5a²-3a)

5a⁴+a³+13a²-9a

200

(3n³-2-5n⁴)+(7n³+1-6n²)

-5n⁴+10n³-6n²-1

300

Perimeter of a triangle with sides (8-x), (x²-1), and (3x-2)

x²+2x+5

400

F(x)+G(x)

F(x) = 2x²+1

G(x) = x-5

2x²+x-4

500

(6x-4)+(6x²-2x+4)+(4-x)+(5x²+13)

11x²+3x+17

Multiplication

100

(-8v²+6v-1)(-4v-7)

32v³+32v²-38v+7

200

(-6r+1)(-r²-2r+6)

6r³-13r²-34r+6

300

2(-4n²-n+2)(n-2)

-8n³+14n²+8n-8

400

(6x²-6x+7)(7x-3)

42x³-60x²+67x-21

500

[(2/3)m⁴-2][(1/2)m²-9]

(1/3)m⁶-6m⁴-m²+18

Subtraction

100

(7v⁴-2v³+v)-(1+6v-5v⁴)

12v⁴-2v³-5v-1

200

(2k³-k⁴+8)-(4k³+4k⁴-6)

-5k⁴-2k³+14

300

(8r²-7-7r⁴)-(3-8r²+3r⁴)

-10r⁴+16r²-10

400

(7v³-3v⁴+1)-(3v³-3v²+6v⁴)

-9v⁴+4v³+3v²+1

500

[c(b)]³​

c(b) = 2x-3

​​​

8x³-48x²+18x+27

Division

100

(6p³-5p²-3p-1)÷ (p-1)

Completed using synthetic division.

6p²+p-2-[3/(p-1)]

200

(8x⁴+11x³-58x²+6x+7)÷ (8x-5)

x³+2x²-6x-3-[8/(8x-5)]

300

(v³+7x²-2v-48)÷ (v+6)

v²+v-8

400

(5x⁵+22x⁴+3x³-22x²-3x-5)÷ (5x+2)

x⁴+4x³-x²-4x+1-[7/(5x+2)]

500

(2x³-x²-13x+1)÷ (x²+3x-5)

2x-7+[(18x-34)/(x²+3x-5)]

Grab Bag

100

You must have a single linear term in order to do this.

(Must answer in the form of a question.)

What is Synthetic Division?

200

Area of a shape will include this operation.

What is multiplication?

300

This is what you do when you end a division problem with a remainder.

What is add it on as a fraction with the divisor as the denominator?

400

What is the profit equation?

P(x)= R(x)-C(x)

or 

Profit = Revenue-Costs

500

If your dividend starts with x³ and your divisor starts with x, what will your quotient start with?

x²