Polynomial Review (from Math 9)

General

100

The degree of this polynomial: 

x³ - 7x² + 4x⁵ - 19x⁷

.

7

200

Name this polynomial based on number of terms:

10x²⁰

monomial

300

A constant has a degree of _________

Zero

400

Terms that have the same variables and the same degree are....

Like terms

500

Refers to the highest exponent in a polynomial, or the exponent on a specific term

Degree

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials: 

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

5x(3x - 2)

15x² - 10x

300

Multiply the Polynomials:

3(2x + 4x² - 5)

12x² + 6x - 15

400

Multiply the Polynomials:

−y² (−8x² − 6xy − y² )

8y²x² + 6y³x + y⁴ 

500

14 - 4y(2y + 3)

-8y² - 12y + 14

Mixed UP!

100

What is the degree on -9xyz

degree = 3

200

A polynomial with 3 terms is called a _______

Trinomial

300

Find the perimeter of a triangle whose side lengths are 3x, 2x + 7,  and 18 units long.

5x + 25 units

400

Find the area of a rectangle with a length = 2x and a width = x+9

2x² + 18x

500

What is the leading coefficient in:
10x² - 8x - 4x³ + 5

- 4  (rearrange in proper order first!)