Operations with Polynomials Mid Term Review

Classifying Polynomials

100

Classify the polynomial by degree and number of terms.

3x+12

1st degree, two terms (binomial)

200

Classify the polynomial by degree and number of terms.

24

Constant (no degree), one term (Monomial)

300

Classify the polynomial by degree and number of terms.

-7x²+4x+1

2nd degree, three terms (Trinomial)

400

Classify the polynomial by degree and number of terms.

12x⁴

4th degree, one term (Monomial)

500

Classify the polynomial by degree and number of terms.

3x⁴-x³+5x²+x-7

4th degree, 5 terms (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

Monomial x Polynomial

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

Binomial x Binomial

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