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) - (3x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

3(3x)

9x

200

Multiply the Polynomials:

(3x + 7)(2x)

6x² + 14x

300

Multiply the Polynomials:

3x² (2x² + 4)

6x4 + 12x²

400

(4x)(4x-3)

16x²-12x

500

(2y-3y+6)(3y)

-3y²+18y

Dividing Polynomials

100

(2x² - 3) / 2

x² -1.5 

200

(3x² - 4) / 2

1.5x - 2

300

(10x⁴ + 15x³ - 5x² )/5x.

2x³ + 3x² - x

400

(9y⁴ - 18y² + 6y) / 3y

3y³ - 6y + 2

500

4(-16x⁶ - 24x⁴ + 8x³) / 8x³

-8x³ - 12x + 4