Question
Using remainder theorem, find the remainder when $p(x) = x^3 + 3x^2 - 5x + 4$ is divided by $(x - 2)$.
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Answer
Given: $p(x) = x^3 + 3x^2 - 5x + 4$
Now, $p(2) = 2^3 + 3(2)^2 - 5(2) + 4$
$= 8 + 12 - 10 + 4$
$= 14$
Now, $p(2) = 2^3 + 3(2)^2 - 5(2) + 4$
$= 8 + 12 - 10 + 4$
$= 14$
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