Question

find the remainder when x³+3x²+3x+1 is divided by x-½​

Answer 1

Answer:

We use the remainder theorem here

Given divider = x + 1

So of it is a factor p (x) = 0

x + 1= 0 => x = -1

When will it be a factor, when we subtract the remainder

According to the question

P ( -1 ) - r = 0

Polynomial =x^3+3x^2 -3x-1

Therefore

-1^3 +3 × -1 ^2 -3 ×-1 - 1 -r =0

-1 +3+3-1 = r

Remainder = 4

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