Home > Question > Which of the following given option...
Question

Which of the following given options is/are incorrect? If p(x)=9(x) g(x) +r(x) (By Division Algorithm) where p(x), g(x) are any two polynomials with g(x) + 0, then (a) r(x)=0 always (b) degree of r(x) < degree of g(x) always (c) either r(x)= 0 or degree of r(x)
JEE/Engineering Exams
Maths
Fullscreen
Solution
36
Rating
4.0 (1 ratings)
(a, b, d) (a) If p(x) is not divisible by g(x), then r(x) + 0.. (a) is not true (b) Ifp(x) is divisible by g(x), then r(x) = 0 for all x i.e., r(x) is a zero polynomial whose degree is not defined. ... (b) is not true (c) is clearly true [.: division algorithm rule] (d) Since degree of r(x) < degree of g(x) or r(x)=0, but g(x) 0. .. r(x)=g(x) is not true.
Fullscreen