Polynomials Review

Classifying Polynomials

100

What do you call a polynomial with one term?

Monomial

200

What do you call a polynomial with 2 terms?

Binomial

300

Name all of the types of polynomials and the number of terms for each. 

Monomial: 1

Binomial: 2

Trinomial: 3

Polynomial: 4 or more

400

What is the degree of the polynomial 4x³+x²-2x+7?

Third (cubic)

500

Classify the polynomial x³-2x+6

Third degree (cubic) trinomial

Adding/Subtracting

100

(2x²+7x-8)+(11x-10+6x²)

8x²+18x-18

200

(8y-7y²+10)+(5y²-14+y)

-2y²+9y-4

300

(a²+8a-11)-(4a²-3a+6)

-3a²+11a-17

400

(17-9b²-2b)-(7b²+1-b)

-16b²-b+16

500

Subtract 3x²-x+5 from x²+3x-2

-2x²+4x-7

Multiplying

100

2x(3x-1)

6x²-2x

200

(x-1)(x+3)

x²+2x-3

300

(2x-2)(x+5)

2x²+8x-10

400

-xy(2x²y²+4xy-y)

-2x³y³-4x²y²+xy²

500

(2x+3y)(4x²y²-xy)

8x³y²-2x²y+12x²y³-3xy²

Factoring

100

2x-6

2(x-3)

200

5xy-10x

5x(y-2)

300

x²-16

(x+4)(x-4)

400

5x⁴y³+15x³y

5x³y(xy²+3)

500

100-x⁴

(10+x²)(10-x²)

More Factoring

100

y²-25

(y-5)(y+5)

200

x²+x-6

(x-2)(x+3)

300

2x²+18x+40

2(x+4)(x+5)

400

3x²+5x-2

(3x-1)(x+2)

500

4x²-5x+1

(x-1)(4x-1)