Polynomial Review

Intro To Polynomials

100

What type of polynomial has two terms?

Binomial 

200

What type of polynomial is shown below. 

5x - 2x + 3

Trinomial

300

Put the polynomial in standard form.

5 - 3x + 4x³ + 7x²

4x³ + 7x² - 3x + 5

400

What is the degree and constant?

5 - 3x + 4x³ + 7x²

Degree = 3 

Constant = 5

500

Which polynomial has the biggest leading coefficient?

A) 5 - 3x + 4x³ + 7x²   or    B) -8x + 10x²

B

Adding & Subtracting Polynomials

100

Simply. Represent your answer in standard form. 

(m³ + 5m) + (m + 3m³)

4m³ + 6m

200

Simplify. Write your answer in standard form. 

(2n² - 5n⁴) + (6n⁴ - 8n² - 5n)

n⁴ -6n² - 5n

300

Simplify. Write your answer in standard form.

(4x³ + 1) - (5x³ + 5)

-x³ - 4

400

Simplify. Write your answer in standard form. 

(5p³ + 7p⁴) - (7p⁴ - 6p² + 8p³)

-3p³ + 6p²

500

Simplify. Write your answer in standard form. 

(8 + 6n² - 7n⁴) - (-7n⁴ + 6n² - 6)

14

Multiplying Polynomials

100

Simplify.

3(4x² - 1) 

12x² - 3 

200

Simplify. 

-x(4x + 2) 

-4x² - 2x

300

Simplify. 

(7k + 4)(5k - 7) 

35k² - 29k - 28

400

Simplify.  Write your answer in standard form.

(x + 7)(8x - 5)

8x² + 51x - 35

500

Simplify. 

(x + 2)(3x² + 4x - 9) 

3x³ + 10x² - x - 18

Radical Review

100

Simplify: 

sqrt99

3sqrt11

200

Simplify: 

sqrt16xy^8

4y^4sqrtx

300

10sqrt10x^3*2sqrt6x^3

120x^3sqrt2

400

-6sqrt10+5sqrt90

9sqrt10

500

3sqrt45-8sqrt20

-7sqrt5