Question

If the polynomial x³+3x²+3x+1is divided by 2x-1,then the remainder is a)1 b)27/8 c)-27/8 d)27​

Answer 1

Answer:

27/8

Explanation:

f(x) = x^3 + 3x^2 + 3x + 1

and

g(x) = 2x-1 = 0

or x = 1/2

Put the value of x in f(x) to find the remainder

= (1/2)^3 + 3(1/2)^2 + 3(1/2) + 1

= 1/8 + 3/4 + 3/2 + 1

= (1+6+12+8)/8

= 27/8