SOLUTION: please help me! if P(x)=2m^3+3, find P(2+h)-P(2) all over h i am in college algebra, im not positvie as what to do, thanks for your help :)

Question 250003: please help me!
if P(x)=2m^3+3, find P(2+h)-P(2) all over h
i am in college algebra, im not positvie as what to do, thanks for your help :)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
if P(x)=2m^3+3,
find P(2+h)-P(2) all over h
---------------
Write P(2+h) on one line:
2(2+h)^3 + 3
= 2[8 + 3h^2 + 3h + h^3] + 3
= 2h^3 + 6h^2 + 6h + 19
----
Write P(2) on one line:
P(2) = 2(2^3)+3
P(2) = 19
-----------------------
Write P(2+h)-P(2) on one line
= 2h^3 + 6h^2 + 6h + 19 - 19
= 2h^3 + 6h^2 + 6h
------------------------
Divide by h to get the final answer:
2h^2 + 6h + 6
========================================
Cheers,
Stan H.

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