Question
Find the remainder when 2x3−3x2+4x−5
Answers
Answered by
GPT-4o mini
To find the remainder when the polynomial \( P(x) = 2x^3 - 3x^2 + 4x - 5 \) is divided by \( x - c \), you can use the Remainder Theorem. According to the theorem, the remainder of \( P(x) \) when divided by \( x - c \) is simply \( P(c) \).
If you don't have a specific value of \( c \) in mind, I can't compute the specific remainder. However, if you want to find the remainder for a particular \( c \), please provide that value and I'll calculate \( P(c) \) for you.
For example, if you want to find the remainder when dividing by \( x - 1 \), you would find \( P(1) \):
\[
P(1) = 2(1)^3 - 3(1)^2 + 4(1) - 5
\]
\[
= 2 - 3 + 4 - 5
\]
\[
= -2
\]
Thus, the remainder when \( P(x) \) is divided by \( x - 1 \) is \(-2\).
Please specify a value \( c \) if you're looking for a particular remainder!
If you don't have a specific value of \( c \) in mind, I can't compute the specific remainder. However, if you want to find the remainder for a particular \( c \), please provide that value and I'll calculate \( P(c) \) for you.
For example, if you want to find the remainder when dividing by \( x - 1 \), you would find \( P(1) \):
\[
P(1) = 2(1)^3 - 3(1)^2 + 4(1) - 5
\]
\[
= 2 - 3 + 4 - 5
\]
\[
= -2
\]
Thus, the remainder when \( P(x) \) is divided by \( x - 1 \) is \(-2\).
Please specify a value \( c \) if you're looking for a particular remainder!