28.
When a polynomial f(x) is divided by x² + x – 1, the quotient is 4x – 6 and the remainder is 6x – 12.
(a) Find the polynomial f(x).
(b) Find the quotient and the remainder when f(x) is divided by 2x + 1.
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Answer:
a. f(x) = 4x^3-2x^2-4x-6
b. Q= 2x^2-2x-1 and R= -5
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