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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