Operations with Polynomials (7.1-7.4 Quiz Review)

Classifying Polynomials

100

Classify the polynomial by degree and number of terms.

3x+12

Linear, Binomial

200

Classify the polynomial by degree and number of terms.

24

Constant, Monomial

300

Classify the polynomial by degree and number of terms.

-7x²+4x+1

Quadratic, Trinomial

400

Classify the polynomial by degree and number of terms.

12x⁴

Quartic, Monomial

500

Classify the polynomial by degree and number of terms.

3x⁴-x³+5x²+x-7

Quartic, Polynomial

Add/Subtract Polynomials

100

Simplify the polynomial and write your answer in standard form.

(12x-2)+(2x²-6x+4)

2x²+6x+2

200

Simplify the polynomial and write your answer in standard form.

(2x²+3x+2)+(3x²-7x-12)

5x²-4x-10

300

Simplify the polynomial and write your answer in standard form.

(7x+x⁴+10)-(9+7x-x⁴)

2x⁴+1

400

Simplify the polynomial and write your answer in standard form.

(2x²+3x+2)-(x²-4x-1)

x²+7x+3

500

Simplify the polynomial and write your answer in standard form.

(7x³+2x²-x-4)-(-4x³-3x²+8)

11x³+5x²-x-12

MonomialxPolynomial

100

Simplify the polynomial and write your answer in standard form.

9a(a-7)

9a²-63a

200

Simplify the polynomial and write your answer in standard form.

-2x⁴(6x²-12x+18)

-12x⁶+24x⁵-36x⁴

300

Simplify the polynomial and write your answer in standard form.

p²q³(p⁵q² - pq)

p⁷q⁵ - p³q⁴

400

Simplify the polynomial and write your answer in standard form.

5w(-7w+3)-2w(13-9w²)

18w³-35w²-11w

500

Simplify the polynomial and write your answer in standard form.

4x²(2x²+x-5)-x(x³+5x²-3)+17

7x⁴-x³-20x²+3x+17

BinomialxBinomial

100

Simplify the polynomial and write your answer in standard form.

(x+1)(x-3)

x²-2x-3

200

Simplify the polynomial and write your answer in standard form.

(x+3)(2x+3)

2x²+9x+9

300

Simplify the polynomial and write your answer in standard form.

(9x-1)(7x+4)

63x²+29x-4

400

Simplify the polynomial and write your answer in standard form.

(2x+7)²

4x²+28x+49

500

Simplify the polynomial and write your answer in standard form.

(x-6)(4x²+x-7)

4x³-23x²-13x+42

Dividing Polynomials

100

Simplify the polynomial and write your answer in standard form.

(27x³-3x) / 3x

9x²-1

200

Simplify the polynomial and write your answer in standard form.

(4x³-10x²+2x) / 2x

2x²-5x+1

300

Simplify the polynomial and write your answer in standard form.

(24x³-42x²-6x) / 6x

4x²-7x-1

400

Simplify the polynomial and write your answer in standard form.

(30x⁶y³+12x⁴y²-15x²y) / 3x²y

10x⁴y²+4x²y-5

500

Simplify the polynomial and write your answer in standard form.

(2x-6)(x+8) / 2x²

1+5/x -24/x²