posted by Anonymous .
When a polynomial is divided by x+3, the quotient is x^3+x^2-4 and the remainder is 8. Find the dividend?
Suppose the question had said:
when a number is divided by 4 the quotient is 6 with a remainder of 1
we would write:
number = 6(4) + 1
f(x) = (x^3 + x^2 - 4)(x+3) + 8
= x^4 + 3x^3 + x^3 + 3x^2 - 4x - 12 + 8
= x^4 + 4x^3 + 3x^2 - 4x - 4