Question

On dividing x3 + 3x2 + 3x +1 by 5 + 2x we get remainder
A 8/27
B 27/8
C -27/8
D -8/27
expain it step by step

Answer 1

Step-by-step explanation:

Dividing x³ + 3x² + 3x + 1 by 5 + 2x So, x³ + 3x² + 3x + 1 is dividend and 5 +2x is divisor.

Put, 5+2x = 0

-5/2 Let p(x) = x³ + 3x² + 3x + 1

Putting x =

3 • (6²) = (6²)² + ³ (²+)² + -5 2 +3 5 2 2

3 +1

-125 75 8 + 4 —125 + 150 8 -27 8 15 2 +1 60 + 8 -

Thus, reminder of p -5 -27 8 = -27

.. We will get reminder as when x³ + 8 3x² + 3x + 1 is divided by 5 + 2x.