18x^2-25x-10 divided by 9x+1

It's long division of polynomials

3 answers

Long division is equivalent to writing down an equation and solving it as follows:

18x^2-25x-10 = (9x+1)(ax + b) + c --->

18x^2-25x-10 = 9ax^2 + (9b+a)x + b + c

9 a = 18 --->

a = 2

9b+a = -25 ---->

b = 3

b + c = -10 --->

c = -13
whew! You're on a roll with the math! :)
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