Section 1.3 Algebraic Expressions Adding And Subtracting Polynomials
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4Section 1.3 Algebraic Expressions
Adding and Subtracting Polynomials
EXAMPLES:
3
2
3
2
3
3
2
2
1. (x
6x
+ 2x + 4) + (x
+ 5x
7x) = (x
+ x
) + ( 6x
+ 5x
) + (2x
7x) + 4
3
2
= 2x
5x + 4
x
3
2
3
2
3
2
3
2
2. (x
6x
+ 2x + 4)
(x
+ 5x
7x) = x
6x
+ 2x + 4
5x
+ 7x
x
3
3
2
2
= (x
) + ( 6x
5x
) + (2x + 7x) + 4
x
2
=
11x
+ 9x + 4
3
2
3
2
3
3
2
2
3. x
6x
+ 2x + 4
+ 5x
7x = (x
) + ( 6x
+ 5x
) + (2x
7x) + 4
x
x
2
=
5x + 4
x
2
2
2
4. 5(3t
4)
(t
+ 2)
2t(t
3) = 15t
20
2
2t
+ 6t
t
2
2
= ( t
2t
) + (15t + 6t)
20
2
2
=
3t
+ 21t
22
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