Given f(x)=4x^2-10x-3, according to the remainder theorem, f(2) can be found by finding the remainder Of which of the fallowing division quotients?

Question

(4x^2-10x-3)/2
(4x^2-10x-3)/(x-2)
(4x^2-10x-3)/(x+2)
(4x^2-10x-3)/x

Answer 1

According to the remainder theorem, if we divide f(x) by (x - c), where c is a constant, the remainder will be equal to f(c).

Therefore, to find f(2), we need to divide f(x) by (x - 2) and find the remainder.

So, the correct division quotient is (4x^2-10x-3)/(x-2).