Polynomial Operations

Standard Form & Degree

100

The degree of this monomial: 8a³

What is 3

200

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

What is 7

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

Division with Polynomials

100

Find the quotient in simplest standard form (with no negative exponent).

12k² —20k

    4k

What is 3k—5

200

Find the quotient in simplest standard form (with no negative exponent).

   —5x²y³z⁴

     15x⁴y²z⁴

What is —1y

             3x²

300

Find the quotient in simplest standard form (with no negative exponent).

6a² + 21a

     3a²

What is  2   +     7

                         a

400

Find the quotient in simplest standard form (with no negative exponent).

—10a³b²+ 25a²b⁵  —5a²b

        —5a²b

What is 2ab—5b⁴+1

500

Find the quotient in simplest standard form (with no negative exponent).

45p⁵q⁴ — 60p³q² — 15p²q³

          15p²q³

What is 3p³q —  4p/q  —1