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Question 83531: I AM CONFUSED ON HOW TO ADD AND SUBTRACT A POLYNOMIAL. CAN YOU GIVE ME 1 OR 2 EXAMPLE AND SOLUTIONS ON HOW TO DO THEM. THANK YOU
Answer by praseenakos@yahoo.com(507)   (Show Source):
You can put this solution on YOUR website!
Addition of Polynomials:
Example:
1. Add (14x + 5) and (10x + 5)
Here we have two binomials..
First write them in a row as follows....
14x + 5 + 10x + 5
Now combine the similar terms.......
(14x + 10x) + (5 + 5)
While adding terms containing like variable...you should add the constant term first and write the common variable as follows....
==> (14 + 10 )x + 10
==> 24x + 10
2. Add (19x2 + 12x + 12) and (7x2 + 10x + 13)
Here we have two trinomials(having three terms)
First write them in a row as follows....
(19x^2 + 12x + 12) +(7x^2 + 10x + 13)
Now combine the similar terms.......
19x^2 + 7x^2 + 12x + 10x + 12 + 13
As I explained in the previous example, While adding terms containing like variable...you should add the constant term first and write the common variable as follows....
==> (19 + 7)x^2 + (12 + 10 )x + (12 + 13 )
==> 26x^2 + 22x + 25
Subtraction of polynomials.
1. (6x + 14) - (9x + 5)
Here first remove the parenthesis.....while doing that ...since you have a minus sign just infornt of the second polynomial, you should change the sign of each term of the second polynomial as follows......
6x + 14 - 9x - 5
Now collect the like terms.....
6x -9x + 14 -5
==> (6-9)x + 14 -5
==> -5x + 9
2.(19x^2 + 9x + 16) - (5x^2 + 12x + 7)
==> 19x^2 + 9x + 16 - 5x^2 - 12x - 7
==> 19x^2 - 5x^2 + 9x - 12x + 16 -7
==> (19 -5)x^2 + (9-12)x + 16 -7
==> 14x^2 - 3x + 9
Hope you found the explanation useful.
Regards.
Praseena.
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