Question

Find the remainder when x

3 + 3x
2 + 3x + 1 is divided
by
x-12​

Answer 1

Answer:

8

Step-by-step explanation:

p(x) = x3 + 3x2 + 3x + 1

g(x) = x – 1  

Let x – 1 = 0, then x = 1.  

As per Remainder theorem, r(x) = p(x) = p(a)  

p(x) = x3 + 3x2 + 3x + 1  

p(1) = (1)3 + 3(1)2 + 3(1) + 1  = 1 + 3(1) + 3(1) + 1

= 1 + 3 + 3 + 1  

P(1) = 8  

∴ r(x) = p(x) = 8  ∴ Remainder is 8.

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