Question

For what value of a is 2a^3+ax^2+11x+a+3 exactly divided by 2x-1.

Answer 1

Answer: a = -7

Solution:

from polynomial 2x-1

put the value of x,in cubic polynomial,and solve for a.

if given polynomial is exactly divisible by 2x-1, than on putting x = 1/2, it becomes zero.

The value of a = -7.