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Find the remainder when the polynomial 4...

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

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To find the remainder when the polynomial \( P(x) = 4x^4 + 3x^2 - 5x + 1 \) is divided by \( 2x - 1 \), we can use the Remainder Theorem. According to this theorem, the remainder of the division of a polynomial \( P(x) \) by a linear divisor \( ax - b \) is given by \( P\left(\frac{b}{a}\right) \). ### Step-by-Step Solution: 1. **Identify the polynomial and the divisor**: - The polynomial is \( P(x) = 4x^4 + 3x^2 - 5x + 1 \). - The divisor is \( 2x - 1 \). ...
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