Question

Find the remainder when x² + 3x² tlis
divided by 2+1​

Answer 1

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).

Given:f(x)=x

3

+3x

2

+3x+1

f(x) is divided by a linear polynomial , x+π, the remainder of that division will be equivalent to f(−π).

Remainder=f(−π)=(−π)

3

+3(−π)

2

+3(−π)+1=−π

3

+3π

2

−3π+1

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