A2: Polynomial Math

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

A term that has no variable

Constant

400

The highest exponent on the variables in a term

Degree of the term

500

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

Like terms

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:

(2x² - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

3(3x)

9x

200

Multiply the Polynomials:

(3xy³)(2x²2y²)

6x³2y⁵

300

Multiply the Polynomials:

-3yx² (-2x⁴y⁵+ x⁵4)

6x⁶y⁶-12x⁷y

400

(2x-3)³= 

8x³-36x²+54x-27

500

(-x-4)⁴= 

x⁴+16x³+96x²+256x+256

Random

100

(x + 6) (x + 3)

x² - 3x - 18

200

Given the following sequence:

1/2, 1/4, 1/8 

Determine the 10th term 

1/512

300

Given the following sequence:

-10, -6, -2 

Determine the 100th term

386

400

Ms. Hernandez wants to know how many desks can fit in her classroom next year. The length of her classroom is x+5 ft and the width of her classroom is x-4 ft. What is the area of her classroom?

x²+x-20

500

Ms. Varns wants to put lights in her classroom. wants wants to know the perimeter in her classroom. The length of her classroom is 3x+5 ft and the width of her classroom is 2x-4 ft.What is the total perimeter?

10x+2