Polynomial Operations

Standard Form & Degree

100

Classify the polynomial: 8a³

cubic monomial

200

Name this polynomial: -3c²+8c+3

quadratic trinomial

300

This polynomial in standard form: x²+4-3x

What is x²-3x+4

400

This polynomial in standard form: 5y-2y²

What is -2y²+5y

500

This polynomial in standard form: 4x-1+5x³+7x

What is 5x³+11x-1

Addition & Subtraction

100

Find the sum: 12p² + 8p²

What is 20p²

200

Simplify: (4w-5) - (9w+2)

What is -5w-7

300

Simplify: (6x²+7) + (3x²+1)

What is 9x²+8

400

Simplify: (2k²-k+3) - (5k²+3k-7)

What is -3k²-4k+10

500

Simplify: (2g⁴-3g+9) + (-g³+12g)

What is 2g⁴-g³+9g+9

Multiplication (distribute)

100

Simplify: 7(x+4)

What is 7x+28

200

Simplify: 2b(3b-11)

What is 6b²-22b

300

Simplify: -w²(w-15)

What is -w³+15w²

400

Simplify: 4x(2x³-7x²+x)

What is 8x⁴-28x³+4x²

500

Simplify: -8y³(7y²-4y-1)

What is -56y⁵+32y⁴+8y³

Multiplication (FOIL)

100

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

What is x²+11x+28

200

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

What is 2h²+11h-63

300

Simplify: (5m-2)²

What is 25m²-20m+4

400

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

What is v²-36

500

Simplify: (6t²+1)²

What is 36t⁴+12t²+1

Simplify and Classify

100

Simplify and Classify

(x³-2x²-5x)+(6x-10x²)

x³-12x²+x

Linear Trinomial

200

simplify and Classify 

2x(4x³+2x)

8x⁴+4x²

quartic binomial

300

Simplify and Classify

(10x³+5-16x²+5x)-(-6x²+3x³+5x)

7x³-10x²+5

cubic trinomial

400

Simplify and Classify

t(t+8)

t²+8t

quadratic binomial

500

Simplify and Classify

(2x+6x²-5)-(2x-5)

6x²

^{quadratic monomial}