If (x + 1) is a factor of 2x3 + ax2 + 2bx + 1, then find the values of a and b given that 2a – 3b = 4, which of the option is correct

1.  a = –1, b = –2
2.  a = 2, b = 5
3.  a = 5, b = 2
4.  a = 2, b = 0

Given that, (x + 1) is a factor of f(x) = 2x³ + ax² + 2bx + 1, then f(-1) = 0. [if (x + a) is a factor of f(x) = ax² + bx + c, then f(-) = 0]

Hence, the required values of a and b are 5 and 2, respectively.
The correct option is 3. a=5, b=2.

Regards.