Polynomial Operations

Classifying

100

Classify by terms and degree:

8a³

Cubic monomial

200

Classify by terms and degree:

-3c⁷+8c³+c

7th degree trinomial

300

Classify by terms and degree:

x²+4-3x

Quadratic trinomial

400

Classify by terms and degree:

5-2y

Linear binomial

500

Classify by terms and degree:

4x^2-1+5x^3-17x

Cubic polynomial

Addition & Subtraction

100

Find the sum: 12p² + 8p²

20p²

200

Find the difference: (4w-5) - (9w+2)

-5w-7

300

Add: (6x²+7) + (3x²+1)

9x²+8

400

Subtract: (2k²-k+3) - (5k²+3k-7)

-3k²-4k+10

500

Subtract: (2g⁴-3g+9) - (-g³+12g)

2g⁴+g³-15g+9

Multiplication (distribute)

100

Simplify: 7(x+4)

7x+28

200

Simplify: 2b(3b-11)

6b²-22b

300

Simplify: -w²(w-15)

-w³+15w²

400

Simplify: 4x(2x³-7x²+x)

8x⁴-28x³+4x²

500

Simplify: -8y³(7y²-4y-1)

-56y⁵+32y⁴+8y³

Multiplication (FOIL)

100

Simplify: (x+7)(x+4)

x²+11x+28

200

Simplify: (2h-7)(h+9)

2h²+11h-63

300

Simplify: (5m-2)²

25m²-20m+4

400

Simplify: (v+6)(v-6)

v²-36

500

Simplify: (6t+1)(t²+7t-1)

6t³+43t²+t-1

Division

100

Simplify: 

(3x^2)/x

What is 43x

200

Simplify: 

(4x^2-10x)/(2x)

2x-5

300

Simplify:

(4h^6-19h^7+6h^2)/h

4h^5-19h^6+6h

400

Simplify: 

(4n^3-6n^2+3n)/(2n)

2n^2-3n+3/2

500

Simplify: 

(9x^2y-18x^3y^3+21xy^3)/(3xy)

3x-6x^2y^2+7y^2