\[
x^{4}+3 x^{3}+2 x+1
\]
What is the remainder when the polynomial is divided by \( x+2 \) ?
Answer
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Answer
\(f(-2) = (-2)^4 + 3(-2)^3 + 2(-2) + 1 = 16 - 24 - 4 + 1 = -11\)
Steps
Step 1 ：\(f(x) = x^4 + 3x^3 + 2x + 1\)
Step 2 ：\(g(x) = x + 2\)
Step 3 ：\(f(-2) = (-2)^4 + 3(-2)^3 + 2(-2) + 1 = 16 - 24 - 4 + 1 = -11\)
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