Hence by the remainder theorem, 0 is the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1. We can also say that x + 1 is a factor of x3 + 3x2 + 3x + 1."
We can also say that x + 1 is a factor of x3 + 3x2 + 3x + 1. (ii) The root of x - (1/2) = 0 is 1/2. Hence by the remainder theorem, 27 / 8 is the remainder when x3 + 3x2 + 3x + 1 is divided by x. Hence by the remainder theorem, 1 is the remainder when x3 + 3x2 + 3x + 1 is divided by x.
Answers & Comments
Step-by-step explanation:
"(i) The root of x + 1 = 0 is -1
p(-1) = (-1)3 + 3(-1)2 + 3(-1) + 1
= -1 + 3 - 3 + 1
= 0
Hence by the remainder theorem, 0 is the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1. We can also say that x + 1 is a factor of x3 + 3x2 + 3x + 1."
Step-by-step explanation:
We can also say that x + 1 is a factor of x3 + 3x2 + 3x + 1. (ii) The root of x - (1/2) = 0 is 1/2. Hence by the remainder theorem, 27 / 8 is the remainder when x3 + 3x2 + 3x + 1 is divided by x. Hence by the remainder theorem, 1 is the remainder when x3 + 3x2 + 3x + 1 is divided by x.