Polynomial Operations

Classifying Polynomials

100

The degree of this monomial: 8a³

What is 3

200

The leading coefficient of this polynomial: -3c⁷+8c³+c

What is -3

300

Classify this polynomial by number of terms: x²+4-3x

What is trinomial

400

The degree and leading coefficient of this expression: 5y-2y²

What is degree: 2 and L.C.: -2

500

1. Put this polynomial in standard form

2. State the degree

3. State the leading coefficient: 

4x-1+5x³+7x

What is 5x³+11x-1, degree 3 and L.C. 5

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 (Box Method)

100

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

What is x²+11x+28

200

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

What is v²-36

300

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

What is 2h²+11h-63

400

Simplify: (5m-2)²

What is 25m²-20m+4

500

Simplify: (6t+1)² - (2t+4)

What is 36t²+10t-3