The Remainder Theorem and the Factor Theorem 315 12. Given that x + 2x - 3 is a factor of f(x) = x4 + 2x3 - 7x2 + ax + b, find a and b and hence factor f(x) completely. 13. Find the remainder when a) 2x4 + x3 - 3x2 + 3x - 4 is divided by 2x - 1 b) 3+3 - 2t + 2 is divided by 3t + 1 14. For P(x) = x2 - x + 1, find a if P(a) = 3. Multiple 15. When a polynomial P(x) is divided by x - 2, the remainder is 3. If the polynomial A(x) = 2P(x) is divided by x - 2, the remainder will be Choice A. 1.5 B. 2 C. 3 D. 6 Copyright @ by Absolute Value Publications. This book is NOT covered by the Cancopy agreement