Given that f(x) = x3 + 2x2 + 3x, find the remainder when f(x + 2) isdivided by x − 2.

Question

Given that f(x) = x3 + 2x2 + 3x, find the remainder when f(x + 2) isdivided by x − 2.
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Solution 1

To find the remainder when f(x + 2) is divided by x - 2, we first need to substitute (x + 2) into the function f(x).

So, f(x + 2) = (x + 2)³ + 2(x + 2)² + 3(x + 2)

Simplify this to get: f(x + 2) = x³ + 6x² + 12x + 8 + 2x² + 8x + 8 + 3x + 6

Combine like terms to get: f(x + 2) = x³ + 8x² + 23x + 22 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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