, 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+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
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)
1 answer
According to the Remainder Theorem, the remainder of the division of a polynomial \( f(x) \) by a linear polynomial \( (x - c) \) is equal to \( f(c) \).
In this case, we want to find \( f(2) \).
To find \( f(2) \), we should divide \( f(x) = 4x^2 - 10x - 3 \) by \( (x - 2) \).
So, the correct response is:
\[ (4x^2 - 10x - 3) \div (x - 2) \]
