Question

Find the reminder when X3+3x2+3x+1 is divided by
(X+T)

Answer 1

Step-by-step explanation:

Use long division method or

Tip X+T==0

x=-T

put x= -T in the equation and the answer will be remainder (this is remainder theorem)

Answer 2

By remainder theorem

x+1=0

x=-1

p(x) = {x}^{3} + {3x}^{2} - 3x - 1p(x)=x

3

+3x

2

−3x−1

p( - 1) = {( - 1)}^{3} + 3 {( - 1)}^{2} - 3( - 1) - 1p(−1)=(−1)

3

+3(−1)

2

−3(−1)−1

= - 1 + 3(1) + 3 - 1=−1+3(1)+3−1

= - 1 + 3 + 3 - 1=−1+3+3−1

\begin{gathered}= 6 - 2 \\ \\ = 4\end{gathered}

=6−2

=4

Thus remainder is 4