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)÷x
left parenthesis 4 x squared minus 10 x minus 3 right parenthesis divided by x
(4x2−10x−3)÷2
left parenthesis 4 x squared minus 10 x minus 3 right parenthesis divided by 2
(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
(4x2−10x−3)÷(x+2)
Responses
(4x2−10x−3)÷x
left parenthesis 4 x squared minus 10 x minus 3 right parenthesis divided by x
(4x2−10x−3)÷2
left parenthesis 4 x squared minus 10 x minus 3 right parenthesis divided by 2
(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
(4x2−10x−3)÷(x+2)
Answers
GPT-4o mini
According to the Remainder Theorem, if you want to find \( f(c) \) for a polynomial \( f(x) \), you can evaluate the remainder of \( f(x) \) when it is divided by \( x - c \).
In this case, we want to find \( f(2) \). Thus, we should divide \( f(x) \) by \( x - 2 \) to find the remainder.
Therefore, \( f(2) \) can be found by finding the remainder of the division \( (4x^2 - 10x - 3) \div (x - 2) \).
So the correct response is:
**(4x^2 - 10x - 3) ÷ (x - 2)**
In this case, we want to find \( f(2) \). Thus, we should divide \( f(x) \) by \( x - 2 \) to find the remainder.
Therefore, \( f(2) \) can be found by finding the remainder of the division \( (4x^2 - 10x - 3) \div (x - 2) \).
So the correct response is:
**(4x^2 - 10x - 3) ÷ (x - 2)**