Question

find the remainder when x³+3x²+3x+1 divided by x+π​

Answer 1

Answer:

Quotient=x²+(3-π)x+(3-3π+π²)

Quotient=x²+(3-π)x+(3-3π+π²)Remainder =1-(3-3π-π²)π

Step-by-step explanation:

Given (x³+3x²+3x+1)÷(x+π)

Division Method:

Quotient:x²+(3-π)x+(3-3π+π²)

x+π)x³+3x²+3x+1(

**** x³+πx²

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*******(3-π)x²+3x

*******(3-π)x²+(3-π)πx

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********* (3-3π+π²)x+1

******(3-3π+π²)x+(3-3π+π²)π

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Remainder:1-(3-3π-π²)π

Therefore,

Dividend = (x³+3x²+3x+1)

Divisor = x + π

Quotient=x²+(3-π)x+(3-3π+π²)

Remainder =1-(3-3π-π²)π

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