Question
Find the remainder when x3 + 3x3 + 3x + 1 is divided by:
x + 1
x + 1
✓
Answer
Here, f(x) = x3 + 3x2 + 3x + 1
By remainder theorem
x + 1 = 0
⇒ x = -1
substitute the value of x in f(x)
f(-1) = (−1)3 + 3(−1)2 + 3(−1) + 1
= -1 + 3 - 3 + 1
= 0
By remainder theorem
x + 1 = 0
⇒ x = -1
substitute the value of x in f(x)
f(-1) = (−1)3 + 3(−1)2 + 3(−1) + 1
= -1 + 3 - 3 + 1
= 0
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