SOLUTION: Given f(x)=2x^2+x-3; g(x)=x+2 f(x)/g(x)=2x^2+x-3/x+2=

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Question 1196055: Given f(x)=2x^2+x-3; g(x)=x+2
f(x)/g(x)=2x^2+x-3/x+2=

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=2x%5E2%2Bx-3
g%28x%29=x%2B2
then
f%28x%29%2Fg%28x%29=%282x%5E2%2Bx-3%29%2F%28x%2B2%29...........use long division

...........(2x-3
%28x%2B2%29|2x%5E2%2Bx-3
............2x%5E2%2B4x.....subtract
................-3x....bring down -3

...............-3x-3
...............-3x-6 ....subtract
.......................3.......reminder

so,
f%28x%29%2Fg%28x%29=+2x+-3%2B+3%2F%28x+%2B+2%29+