Question

1.
Using remainder theorem, find the remainder when y3 + 3y2 + 3y +1 is divided by y+pi​

Answer 1

Given : y3 + 3y2 + 3y +1 is divided by y+pi​

To Find : remainder Using remainder theorem,

Solution:

f(x) divides by (x - a)

Then remainder is f(a)

y³ + 3y² + 3y +1  is divided by y+π

y+π  = y - (-π)

Hence

Remainder = (-π)³ + 3 (-π)² + 3 (-π) +1  

=   π²(-π  + 3)  - 3π  + 1

= π² ( 3 - π) + 1 -  3π

remainder = π² ( 3 - π) + 1 -  3π

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