find the remainder when x³+3ײx+1 is divided by (5+2x).
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Step-by-step explanation:
We need to find the remainder of
\frac{x^3+3x^2+3x+1}{5+2x}
Using long division method we get
\frac{x^3+3x^2+3x+1}{5+2x}=\frac{x^2}{2} + \frac{x}{4} + \frac{7}{8} + -\frac{27}{8(5+2x)}
Therefore the remainder is -\frac{27}{8}.
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