Q. 1 D4.1( 21 Votes )

Find the remainde

Let p(x) = x3 + 3x2 + 3x + 1

As we know by Remainder Theorem,

If a polynomial p(x) is divided by a linear polynomial (x – a) then, the remainder is p(a)

Remainder of p(x) when divided by x + π is p(–π)

p(–π) = (–π)3+ 3(–π)2+ 3(–π) + 1

p(–π)= –π3 + 3π2 –3π + 1

Remainder of x3 + 3x2 + 3x + 1 when divided by x+ π is –π3 + 3π2 –3π + 1

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