Let . (a) Find the remainder when is divided by . (b) Find the remainder when is…
MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
Let p(x)=4x4−7x3+2x2−5x+11.
(a) Find the remainder when p(x) is divided by (x−2).
(b) Find the remainder when p(x) is divided by (x+1).
(c) State, with reason, whether any of the linear factors (x−2) or (x+1) is a factor of p(x).