Math 1300
Section 3.2 Notes
1
Operations with Polynomials
Addition of Polynomials
The sum of two polynomials is found by combining like terms.
To add like terms, add the
coefficients and do not change the variable and exponents in common.
Example:
Perform the addition (2
x
7
+ 9
x
3
- 5) + (3
x
3
+ 2
x
+ 14).
(2
x
7
+ 9
x
3
- 5) + (3
x
3
+ 2
x
+ 14)
Remove the parentheses and group like terms together
2
x
7
+ 9
x
3
+ 3
x
3
+ 2
x
+ 14 - 5
Combine like terms. Don’t change variables or exponents.
2
x
7
+ 12
x
3
+ 2
x
+ 9
Answer.
Example:
Perform the addition (2
x
3
- 17
x
2
- 5x) + (3
x
3
-
x
+ 8).
(2
x
3
- 17
x
2
- 5x) + (3
x
3
-
x
+ 8)
Remove the parentheses and group like terms together
2
x
3
+ 3
x
3
- 17
x
2
- 5x -
x
+ 8
Combine like terms. Don’t change variables or exponents.
5
x
3
- 17
x
2
- 6x + 8
Answer.
Subtraction of Polynomials
The difference of two polynomials is found by adding the first polynomial to the negative of the
second polynomial.
The negative
of the second polynomial is found by changing the sign of
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This note was uploaded on 02/22/2012 for the course MATH 1300 taught by Professor Staff during the Spring '08 term at University of Houston.
- Spring '08
- Staff
- Math, Polynomials, Addition, Exponents
-
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