F(x) = 2x^3-5x^2+7x-3F(x)=2x35x2+7x3 and g(x) = 2x-3g(x)=2x3. What is the quotient and remainder in the form q(x) + (r(x))/g(x)q(x)+r(x)g(x)?

1 Answer
May 29, 2018

x^2-x+5 + 12/(2x-3)x2x+5+122x3

Explanation:

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

It's like solving 22 divided by 77 to get 3 1/2312, except we're doing this with polynomials.

f(x) = 2x^3+5x^2+7x-3, g(x) = 2x-3f(x)=2x3+5x2+7x3,g(x)=2x3

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

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