#F(x) = 2x^3-5x^2+7x-3# and #g(x) = 2x-3#. What is the quotient and remainder in the form #q(x) + (r(x))/g(x)#?

1 Answer
May 29, 2018

#x^2-x+5 + 12/(2x-3)#

Explanation:

The question is asking you to divide the polynomials to get the form of #q(x) + (r(x))/g(x)#.

It's like solving #2# divided by #7# to get #3 1/2#, except we're doing this with polynomials.

#f(x) = 2x^3+5x^2+7x-3, g(x) = 2x-3#

#f(x)# can't go into #g(x)# because it's bigger, so #g(x)# will go into #f(x)#

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