Unit 4: Polynomials Intro

Definitions

100

What is a number or variable in a polynomial that is separated  by an addition or subtraction sign

a term

200

The number before a variable within a term is called the...

Coefficient

300

Terms that have the same variables and the same exponent(s) are....

Like terms

400

The highest exponent on the variables in a term

Degree of the term

500

A polynomial with a degree of 3 and 3 terms is called a...

Cubic Trinomial

Adding

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

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:

(2x² - 3x) - (x² -2x + 4)

-x² + x - 4

Identify

100

3x

Monomial

200

Multiply the Polynomials:

4s² + 4z - 6

Trinomial

300

d² + 3d

Binomial

400

4x² + 4x + 3 - 4x²

binomial

500

4x²+3x - 2y² - 6

Polynomial

Degree or Standard

100

x² - 3x - 18

2

200

4x³ + 6x² - 3x + 2

3

300

What is the following in standard form:

-13x - 24 + 2x²

2x² - 13x - 24

400

What is the following in standard from:

3x - 2 + 4x⁵ + 8x⁶

8x⁶ + 4x⁵ + 3x - 2

500

What is the degree of the answer?

(5 - 4x² + 3x) - (5x + 4x² - 2)

2