Polynomials

Vocab

100

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

What is a term?

200

This number is after and above the term. It tells the writer to multiply by itself.

What is an exponent?

300

A term that has no variable.

What is a constant?

400

This is a monomial or a sum of monomials.

What is a polynomial?

500

When you write a polynomial in standard form, the coefficient of the first term is the...

leading coefficient

Addition

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

Subtraction

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

Multiplication

100

Multiply the polynomials:

3(3x)

9x

200

Multiply the Polynomials:

(3x)(2y)

6xy

300

Multiply the Polynomials:

3x² (2x⁴ + 4)

6x⁶ + 12x²

400

Multiply the polynomials:

(4x+3)(4x-3)

16x²-9

500

Multiply the polynomials:

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

4x²+12x-9y²+18y

Division

100

Divide the polynomials:

15x⁵ / 5x²

3x³

200

Divide the polynomials:

21x - 12 / 3

7x-4

300

Divide the polynomials:

-5x²y⁴z⁴ / 20xy³z⁴

-4xy

400

Divide the polynomials:

6cd¹⁰-24c⁵d⁴-3cd³ / 3cd³

2d⁷-8c⁴d-1

500

Divide the polynomials:

60p⁵q⁴-45p³q²-30p³q² / 15p²q³

4p³q-5pq^-1