Transcript 8.1 B Adding and Subtracting Polynomials 10-2

Warm Up
1. What is the degree of the monomial?
3 3

x
y
a)
b)
6x 2
c)
7x
2. Write each polynomial in standard form and state its name based
on the number of terms and the degree.
a)
3  5x  4 x 2
b)
8x  x  5  x3
ADDING AND
SUBTRACTING
POLYNOMIALS
Section 8.1 B
Objective
◦TSWBAT add and subtract
polynomials.
Example 1
Add the two polynomials.
2 x  120x
2
and
 0.5x +0
 300x  8000
2
+
1.5 x  180x  8000
2
◦ Step 1: Line Up Like terms.
◦ Step 2: add a 0 for a placeholder where there is no
like terms.
◦ Step 3: combine straight down.
◦ Step 4: Put the answer in standard form.
Practice
(3z 3  4  7 z 2 )  (8z 2  6z  5)
(3x 2  4x  5)  (5x 2  2x  8)
Example 2
Subtract the two polynomials.
2 x  4 x  3x
3
2
6 x +0
5x  4
3
and
2
+0x
-
 4 x  x  3x  4
3
2
◦ Step 1: Line up like terms.
◦ Step 2: put 0’s
◦ Step 3: change all signs of bottom polynomial and
combine straight down.
◦ Step 4: make sure your answer is in standard form.
1.
Practice
2
(4m  m  9)  (4m2  m 12)
3
2
3
2
(
x

3
x

5
x
)

(
7
x

5
x
12)
2.
Assignment
◦Pg. 506-507 #26-35, 40, 42