Adding Polynomials
Subtracting Polynomials
All about Polynomials
Vocabulary and Rules
100

Add the Polynomials

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

5x + 5

100

Subtract the polynomials:

(5a + 4) - (5a + 3)

1

100

What are like terms?

Terms with the same variable and the same exponent.

100

What is the number in front of the variable in a term, called?

Coefficient

200

Add the polynomials:

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

4a + 3

200

Subtract the polynomials:

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

-12h - 8

200

When adding polynomials, what do the exponents do?

Remain the same.

200

What is the number that stands alone in an expression called? (no variable)

Constant

300

Add the polynomials:

(x2 +3x + 5) + ( -x2 +6x)

9x + 5

300

Subtract the polynomials:

(-x2 - 5) - (-3x2 -x -8)

2x2 + x +3

300

What do you call a polynomial with 6 terms?

Polynomial

300

What would you call the following polynomial?

3x^3+2

Cubic Binomial

400

Add the polynomials:

(t2 + 3t3 -3) + (2t2 +7t -2t3

t3 +3t2 +7t -3



400

Subtract the Polynomials:

(k2 + 6k3 -4) - (5k3 + 7k -3k2)

k3 + 4k2 -7k -4

400

A polynomial with 1 term is called:

Monomial.

400

What would you call the following polynomial?

-2x^2-x-1

Quadratic Trinomial

500

Add the polynomials: 

(-1 + x2 + 2x) + (1 -2x + 2x2)

3x2

500

Subtract the Polynomials:

(2x - 3x) - (x2 -2x + 4)

-x2 + x - 4



500

A polynomial with 2 terms is called:

Binomial

500

What would you call the following polynomial?

100x

Linear Monomial

600

Add the polynomials:

(-7x5 + 14 -2x) + (10x4 + 7x + 5x5)

-2x5 + 10x4 +5x + 14

600

Subtract the following polynomials

(3 - 6x- 8x4) - (-6x- 3x - 8x5)

2x5 - 2x4 + 3x + 3

600

A polynomial with 3 terms is called:

Trinomial

600

What would you call the following polynomial?

23x^7+2x^4-x+100

7th Degree Polynomial