Question
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?(1 point) Responses (4x2−10x−3)÷2 left parenthesis 4 x squared minus 10 x minus 3 right parenthesis divided by 2 (4x2−10x−3)÷x left parenthesis 4 x squared minus 10 x minus 3 right parenthesis divided by x (4x2−10x−3)÷(x+2) left parenthesis 4 x squared minus 10 x minus 3 right parenthesis divided by left parenthesis x plus 2 right parenthesis (4x2−10x−3)÷(x−2) left parenthesis 4 x squared minus 10 x minus 3 right parenthesis divided by left parenthesis x minus 2 right parenthesis
Answers
GPT-4o mini
According to the Remainder Theorem, to find \( f(a) \) for a polynomial \( f(x) \), you can divide \( f(x) \) by \( (x - a) \) and the remainder of this division will be equal to \( f(a) \).
In this case, you want to find \( f(2) \). Therefore, you need to divide \( f(x) = 4x^2 - 10x - 3 \) by \( (x - 2) \).
Thus, the correct response is:
\((4x^2 - 10x - 3) \div (x - 2)\)
This division will give you the remainder, which is equal to \( f(2) \).
In this case, you want to find \( f(2) \). Therefore, you need to divide \( f(x) = 4x^2 - 10x - 3 \) by \( (x - 2) \).
Thus, the correct response is:
\((4x^2 - 10x - 3) \div (x - 2)\)
This division will give you the remainder, which is equal to \( f(2) \).