Polynomials Review

Classifying

100

How many terms does a binomial have?

2

200

How many terms does a monomial have?

1

300

Classify the following polynomial by degree and number of terms: x²+2x-1

2^nd degree (quadratic) trinomial 

400

What does it mean to be written in standard form?

Alphabetical order with largest exponent first

500

Write the following polynomial in standard form and then classify by degree and number of terms: 

3x²-x+2-4x³

-4x³+3x²-x+2

3^rd degree (cubic) polynomial 

Adding/Subtracting

100

(x²+2x-1)+(3x+4)

x²+5x+3

200

Find the sum of 2x²-4x+3 and -x²+2x+5

x²-2x+8

300

(4x²-3x+5)-(2x²+4x-6)

2x²-7x+11

400

Subtract x²+2x-3 from 3x²-x+4

2x²-3x+7

500

(x²+3x-5)+(2x²-4x+6)-(x²-2x+7)

2x²+x-6

Multiplying Monomials

100

3(x+2)

3x+6

200

(4x)(-2x³)

-8x⁴

300

(x²y²)(4xy²)

4x³y⁴

400

6x(2x-7)

12x²-42x

500

3x²y³(x²+2xy-4y²)

3x⁴y³+6x³y⁴-12x²y⁵

Multiplying Binomials

100

(x+2)(x-3)

x²-x-6

200

(2x+1)(3x-2)

6x²-x-2

300

(4x+5)²

16x²+40x+25

400

(x+2)(x²-4x+7)

x³-2x²-x+14

500

(2x+3)(4x²+x+7)

8x³+14x²+17x+21

Multi-Step

100

(x+2)(x-3)+(2x+5)

x²+x-1

200

(x-4)(x+1)(2x+1)

2x³-5x²-11x-4

300

(2x-3)²+(x²+4x-6)

5x²-8x+3

400

(x-2)(2x+1)-(x²+5x-6)

x²-8x+4

500

(3x+2)(x²+5x-4)-(4x²-2x+7)

3x³+13x²-15