Given f(x)=4x^2-10x-3, according to the remainder theorem, f(2) can be found by finding the remainder

Answer 1

when f(x) is divided by (x-2).

To find the remainder, we divide the polynomial f(x) by (x-2) using synthetic division:

2 | 4 -10 -3
| 8 -4
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4 -2 -7

The remainder when f(x) is divided by (x-2) is -7.

Therefore, according to the remainder theorem, f(2) can be found by taking the remainder -7.