Question

Find the remainder by long division method when x^3+3x^2+3x+1 is divided by (I) x+1,
(2) x-1/2
(3) x,
(iv) x+pi
(v) 5+2x​

Answer 1

Step-by-step explanation:

x + 1 ) x³ + 3x² + 3x + 1 ( x² + 2x + 1

x³ + x²

2x² + 3x + 1

2x² + 2x

x + 1

x + 1

0

x - 1/2 ) x³ + 3x² + 3x + 1 ( x² + 7x/2 + 19/4

x³ - x²/2

7x²/2 + 3x + 1

7x²/2 - 7x/4

19x/4 + 1

19x/4 - 19/8

27/8