Question

What is the remainder if we divide 6x^3 + x^2 – 2x + 4 by x-2 ?

(a) 48

(b) 52

(c) -26

(d) -24

This question was addressed to me by my college director while I was bunking the class.

I'd like to ask this question from Remainder Theorem in chapter Polynomials of Mathematics – Class 9

Answer 1

Correct choice is (b) 52

The best explanation: According to remainder theorem, if p(x) be any polynomial of degree greater than or equal to one and let “a” be any real number. If p(x) is divided by the linear polynomial x-a, then the remainder is p(a).

So to know the value of remainder, we have to find the value of p(2).

p(2) = 6(2)^3 + (2)^2 – 2(2) + 4

= 6(8) + 4 – 4 + 4

= 48 + 4

= 52.