MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
Consider the polynomial p(x)=3x3+kx2+mx+1. The remainder obtained on dividing p(x) by x−1 is 5, whereas the remainder obtained on dividing it by x+2 is −7. What is the value of m?
(a) 6
(b) −6
(c) −2
(d) 4