Find Variables Given Factors and Remainders of Division With Non Factors (Synthetic Division)

Question: Please help with Polynomial function with remainder
If f(x) = x4 + 5x3 + ax + b, where a and b are constants, and the remainder when f(x) is divided by (x-2) is equal to the remainder when f(x) is divided by (x+1)a) How can I find the value of a.b) Given that (x+3) is a factor of f(x), how do I find the value of b?

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Answered By:

Frank T.
Decades of Experience Tutoring

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Written Explanation:

See the videa.

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