Find the remainder when x^3+3x^2+3x+1 is divided by x+pi r
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Step-by-step explanation:
Correct option is
C
3−π
+3π
2TT
−3π+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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