Adding and Subtracting

Polynomials

Warm-up!!

Good Morning!! Please pick up your

calculator as you walk in!

1. Classify the following polynomials (be

sure to state the degree and type):

a. x3 + x +1

b. 14

c. x2 – 14x +27

d. 4x + 15

Adding and Subtracting Polynomials

What are like terms? Like terms have the same variables with exactly the same exponents

Which of the following polynomials are like terms?

A. 2xy

B. 3ab2

C. -4a3b2

D. 17ab2

E. 9mn

You Try!! Which of the following

polynomials are like terms?

a. -5a3b5

b. 46f3

c. -85f3

d. 0.03f3g

e. 7f3

Adding Polynomials

The easiest way to add polynomials is

the vertical method.

How to use the vertical method:

Line Up Like Terms

Add the coefficients. Keep the

variables the same.

Examples

1. (4x2 + 6x +7) + (2x2 – 9x+1)

2. (x2 + x + 1) + (5x2 - 8x +20)

Examples Continued

3. (7y3 – 3y2 + 4y) + (8y4 + 3y2)

You Try!!

(7a3 – a + 3a2) + (8a2 - 3a – 4)

Subtracting Polynomials

The easiest way to add polynomials is the

vertical method. It is just like when we

added polynomials with one extra step.

How to Use Vertical Method:

1. Distribute the negative to everything in

parenthesis

2. Line up like terms

3. Add the coefficients. Keep the variables

the same.

Examples

1. (2x3 +5x2 - 3x) - (x3 - 8x2+11)

2. (6x2 -3x +1) - (x2+x -9)

Examples Continued

3. (-7z3+3z -1) - (-6z2+z+4)

You Try!!

(2x3 - 5x2 -1) - (8x3+3 - 8x2)

Gizmos: Addition of Polynomials

Log onto Gizmos and go to Unit 5. Select

Addition of Polynomials.

Follow along with the handout. When you

are finished, answer the 5 questions at the

bottom of the Gizmo and turn in your

handout to the wire basket!