Question
Given f(x)=4x^2-10x-3, according to the remainder theorem, f(2) can be
Answers
GPT 3.5
calculated by dividing the polynomial f(x) by (x - 2) and evaluating the remainder.
To find the remainder, we need to perform polynomial division:
2x - 1
-----------------
x - 2 | 4x^2 - 10x - 3
- (4x^2 - 8x)
--------------
- 2x - 3
+ ( - 2x + 4)
--------------
1
The remainder is 1, so according to the remainder theorem, f(2) = 1.
To find the remainder, we need to perform polynomial division:
2x - 1
-----------------
x - 2 | 4x^2 - 10x - 3
- (4x^2 - 8x)
--------------
- 2x - 3
+ ( - 2x + 4)
--------------
1
The remainder is 1, so according to the remainder theorem, f(2) = 1.