Given f(x)=4x2−10x−3, according to the Remainder Theorem, f(2) can be found by finding the remainder of which of the following division quotients?

Answer 1

In order to find the remainder of the division, we divide $4x^2 - 10x - 3$ by the polynomial $x-2$.

We can use polynomial long division or synthetic division to do this division. The quotient is $4x-2$ and the remainder is $-7$.

Therefore, according to the Remainder Theorem, $f(2)$ can be found by finding the remainder of the division quotient $-7$.