Ch. 13 Test Review

Polynomial Basics

100

What are 3 types of polynomials?

monomial, binomial, trinomial

200

Simplify and name what type of polynomial.

-4x³ + 2x² + 10x³

6x³ + 2x² binomial

300

Simplify and name what type of polynomial.

-5y³ - 6y⁵ + 7y³ - 8y⁵

-14y⁵ + 2y³ binomial

400

Simplify and name what type of polynomial.

4(-3y³ + 4y) + 2y²

-12y³ + 2y² + 16y trinomial

500

Simplify and name what type of polynomial.

3(4x - 2x) - 6(x² + 1)

-6x² + 6x - 6 trinomial

Adding Polynomials

100

-4x² + 8x² + x²

5x²

200

(4x + x³) + (3x³ + 5x)

4x³ + 9x

300

(3x² + 8x + 6) + (-2x² + 10x - 2)

x² + 18x + 4

400

What is the perimeter of a triangle if the sides are 

x² + 1, x + 2, and 2x² + 3

3x² + x + 6

500

What is the perimeter of a rectangle if the length is x + 2 and the width is x² + 1

2x² + 2x + 6

Subtracting Polynomials

100

-6x³ - 4x³

-10x³

200

(-5x² + 2x) - (-7x² + 6x)

2x² - 4x

300

(5a⁴ - 6a - 2) - (4a⁴ - 6a + 1)

a⁴ - 3

400

(10b⁴ - 8b³ - 6b) - (12b⁴ + 9b + 2)

-2b⁴ - 8b³ - 15b + 2

500

3(5y² + 2y - 1) - (6y² + 4y - 8)

9y² + 2y + 5

Multiplying Polynomials

100

(2x) (4x⁵)

8x⁶

200

2a(4a³ - 6)

8a⁴ - 12a

300

-4a²(a⁵ - 7a + 8)

-4a⁷ + 28a³ - 32a²

400

A rectangle is 4x by 5x.  A whole is cut out of it that has an area of 2x + 1.  Find the area of the remaining rectangle.

18x² - 1

500

(2d + 8) (4d² - d + 2)

8d³ + 30d² - 4d + 16

Misc.

100

(-3y⁴)(6y⁷)

-18y¹¹

200

1 + 4x³ - 6y² + 3y

Put in standard form and state constant(s).

4y³ - 6y² + 3y + 1

constant: 1

300

Name the coefficients and degree.

3x⁴ - 14 - 2x⁵ + 5x²

coefficients: 3, -2, 5

degree: 5

400

Name coefficients, constant(s), and degree.

-5a⁷ + 8a² - 3 + 4a⁵ - 10

coefficients: -5 8, 4

constants: -3, -10

degree: 7

500

What is the perimeter of a rectangle with a length of 5x² + 1 and a width of 2x - 3?

10x² + 4x - 4