Subject:
MathAuthor:
rolandidmsCreated:
1 year agoAnswer:
By the remainder theorem, 0 is the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1.
Step-by-step explanation:
Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any real number.
If a polynomial p(x) is divided by x - a then the remainder is p(a).
Let p(x) = x3 + 3x2 + 3x + 1
(i) The root of x + 1 = 0 is -1
p(-1) = (-1)3 + 3(-1)2 + 3(-1) + 1
= -1 + 3 - 3 + 1
= 0
Author:
frances
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