Lesson 13-2 Pages 674-677

Adding Polynomials

What you will learn!1. How to add polynomials.

What you really need to know!

Add polynomials by combining like terms, which are monomials that contain the same variables to the same power.

Example 1: Find the sum:

9w9w −− 44++ ww ++ 55

1010ww

++ 11

(9w – 4) + (w +5)

Example 1b: Find the sum:

(6x2 – 3x + 1) + (x2 + x – 1)

6x6x22 −− 3x3x ++ 11

++ xx22 ++ xx −− 117x7x

22 -- 2x2x

Example 1c: Find the sum:

5a3 + (2a – 4a) + 7

5a3 – 2a + 7

5a3 + -2a + 7

Example 1d: Find the sum:

(4x2 – 3y2) + (x2 + 4xy + y2)

4x4x22 −−

3y3y22

++ xx22 ++4x4x

yy++ yy22

5x5x22 ++

4x4xyy

−−2y2y

22

Example 2:

The length of a rectangle is 3x2 + 2x – 5 units and the width is 8x – 1 units.

Find the perimeter.

Example 2:

3x3x22 ++ 2x2x −− 55

8x8x −− 113x3x

22 ++ 2x2x −− 55

++ 8x8x −− 116x6x

22 ++2020

xx−− 1212

Example 3:

The length of a rectangle is 3x2 + 2x – 5 units and the width is 8x – 1 units.

Find the length of the rectangle if x = -3.

3x2 + 2x – 5 ; x = -33(-3)2 + 2(-3) – 53(9) + 2(-3) – 5

27 + -6 – 521 – 5 16 units

Page 676

Guided Practice

#’s 4-10

Pages 674-675 with someone at home and

study examples!

Read:

Homework: Pages 676-677

#’s 12-28 even

#’s 34-48 all

Page

756

Lesson 13-2