Polynomial Divisibility
Source:
January 11, 2009
algebrapolynomialVieta
Problem Statement
If x^4 \plus{} 4x^3 \plus{} 6px^2 \plus{} 4qx \plus{} r is exactly divisible by x^3 \plus{} 3x^2 \plus{} 9x \plus{} 3, the value of (p \plus{} q)r is:
(A)\ \minus{} 18 \qquad (B)\ 12 \qquad (C)\ 15 \qquad (D)\ 27 \qquad (E)\ 45 \qquad