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# Polynomials

0
56
2

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

Aug 6, 2022

#1
+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:

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

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

Aug 6, 2022
#2
+248
+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