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Find the remainder when g(x) = 5x^9 - 4x^2 +2 is divided by 5x+10.

 Aug 6, 2022
 #1
avatar+113 
+1

You can use an online calculator for that, the solution, and the calculator can be found at:

https://www.emathhelp.net/calculators/algebra-1/polynomial-long-division-calculator/?numer=5x%5E9+-+4x%5E2+%2B2&denom=5x%2B10

Under is screengrab of the answer:

polynomial

The answer to Your puzzle is thus:

\(-\frac{644x}{5} + \frac{1288}{5} - \frac{2574}{5x + 10}\)

It really is a tedious task to go through all of that.

 Aug 6, 2022
 #2
avatar+251 
+1

Sorry, but you don't need to go through all that.

 

g(x) = (5x + 10)(q(x)) + r(x)


r(x) has to be a constant, so let's set it equal to the variable, y.

 

g(-2) = y = -2560 - 16 + 2 = -2574 as our remainder. 

 Aug 6, 2022

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