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Find the remainder when the polynomial p...

Find the remainder when the polynomial `p(x)=x^(4)-3x^(2)+5x+1` is divided by (x-2).

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To find the remainder when the polynomial \( p(x) = x^4 - 3x^2 + 5x + 1 \) is divided by \( x - 2 \), we can use the Remainder Theorem. According to the Remainder Theorem, the remainder of the division of a polynomial \( p(x) \) by \( x - a \) is \( p(a) \). ### Step-by-Step Solution: 1. **Identify the polynomial and the divisor**: - The polynomial is \( p(x) = x^4 - 3x^2 + 5x + 1 \). - The divisor is \( x - 2 \), so we will evaluate \( p(2) \). ...
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