Polynomial Operations

Vocabulary

100

Classify the following by the number of terms:

x²+2

Binomial

200

Classify the following by degree:

x³-7x+6

Cubic

300

Classify the following by the number of terms:

x⁴-8x²y+9xy²-2y⁴

Polynomial

400

Classify the following by the number of terms and degree:

2x²+5x-1

Quadratic Trinomial

500

Classify the following by the number of terms and degree:

x⁴-81

Quartic Binomial

Adding/Subtracting Polynomials

100

Simplify:

3x³-2x³+7x

x³+7x

200

Simplify:
x²-3x-9x²+21

-8x²-3x+21

300

Simplify:

(6x²-5x)+(4x²-3x+4)

10x²-8x+4

400

Simplify:
(3y²-4y+1)-(-y²+y-2)

4y²-5y+3

500

Simplify:

(6x²-5x)-(4x²-3x+4)

2x²-2x-4

Multiplying Polynomials

100

Simplify:

-2x(x³-6x²+6)

-2x⁴+12x³-12x

200

Simplify:

3a(6a²-4ab²)

18a³-12a²b²

300

Simplify:

(x+2)(x-8)

x²-6x-16

400

Simplify:

(-2m+3)(5m+1)

-10m²+13m+3

500

Simplify:

(3x+4)(4x²-5x-3)

12x³+x²-29x-12

Factoring

100

Factor:

x²+3x+2

(x+2)(x+1)

200

Factor:

a²+17a-18

(a+18)(a-1)

300

Factor:

3b²+42b-45

3(b+15)(b-1)

400

Factor:

16a²-36

4(2a+3)(2a-3)

500

Factor:

10x²-13x+4

(2x-1)(5x-4)

Misc.

100

What do we call a polynomial with 1 term?

Monomial

200

What do we call a polynomial of degree 0?

Constant

300

Give an example of a linear polynomial

Example Answer: 4x+1

400

What is the GCF of the following:

15a²-12ab²+6b²

3

500

Find the GCF of the following:

144x⁶-45x⁴y-81x²

9x²