SOLUTION: help me perform the indicated operation of this equation please show me the work (-7x^3+6x^2-11x+13)+(19x^3-11x^2+7x-17)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: help me perform the indicated operation of this equation please show me the work (-7x^3+6x^2-11x+13)+(19x^3-11x^2+7x-17)      Log On


   



Question 285617: help me perform the indicated operation of this equation please show me the work
(-7x^3+6x^2-11x+13)+(19x^3-11x^2+7x-17)

Found 3 solutions by stanbon, JBarnum, PRMath:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
perform the indicated operation of this equation please show me the work
(-7x^3+6x^2-11x+13)+(19x^3-11x^2+7x-17)
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Combine the "like" terms to get:
(19-7)x^3 + (6-11)x^2 + (7-11)x + (13-17)
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= 12x^3 - 5x^2 - 4x -4
===========================
Cheers,
Stan H.

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
%28-7x%5E3%2B6x%5E2-11x%2B13%29%2B%2819x%5E3-11x%5E2%2B7x-17%29
i would start with grouping like terms to more easily add like terms
%28-7x%5E3%2B19x%5E3%2B6x%5E2-11x%5E2-11x%2B7x%2B13-17%29 add like terms
19-7=12, 6-11=-5, 7-11=-4,13-17=-4
highlight%2812x%5E3-5x%5E2-4x-4%29 this is what they are added together

Answer by PRMath(133) About Me  (Show Source):
You can put this solution on YOUR website!
%28-7x%5E3%2B6x%5E2-11x%2B13%29%2B%2819x%5E3-11x%5E2%2B7x-17%29 Original problem....


What you want to do is add together all the like terms. x%5E3 terms will add with other x%5E3 terms. Similarly, x%5E2 terms will add with other x%5E2 terms and so on......


It may help you if you re-write the problem with like terms underneath one another, like this:

%28-7x%5E3%2B6x%5E2-11x%2B13%29
%2819x%5E3-11x%5E2%2B7x-17%29


When you do that you can see which terms go together, like this:

%28-7x%5E3%2B6x%5E2-11x%2B13%29
%2819x%5E3-11x%5E2%2B7x-17%29
_______________________________
12x%5E3+-5x%5E2+-4x+-4

Where did we get that answer?? Break it down like this;

-7x%5E3+%2B+19x%5E3+=+12x%5E3
6x%5E2+-+11x%5E2+=+-5x%5E2
-11x+%2B+7x+=+-4x
13+-+17+=+-4


Now if you had a minus sign in front of a problem, like this:

%283x%5E2+%2B+4%29+-+%282x%5E2+%2B2%29 you would have to distribute the minus sign. I mean to say that your problem would THEN become........

3x%5E2+%2B+4+-2x%5E2+-+2%29 <----See how the %2B2x%5E2 became -2x%5E2? Also, see how the %2B2 became -2?

THEN you have.... 3x%5E2+%2B+4+-2x%5E2+-+2 which is


3x%5E2+%2B+4
-2x%5E2+-+2
__________________
1x%5E2+%2B+2

I hope this helps you. It's just a matter of adding like terms to one another. :-)