If 2 is a zero of both the polynomial 3x^2+ax-14 and 2x^3+bx^2+x-2 then find the value of 2a and 2b

We have ,
p(x) = 3x² + ax -14
f(x) = 2x³+ bx² + x -2 .
2 is zero of both the polynomial .
Putting x = 2 in p(x)
=> 3(2)²+a(2)-14=0
=> 2a-2 = 0
=> a = 1
=> 2a = 2 ....(1)
Now , putting x = 2 on f(x)
=> 2(2)³+b(2)²+2-2 = 0
=> 16+4b = 0
=> b= -4
=> 2b = -8
Hence , 2a = 2 and 2b = -8 .
Hope , it helps ..!!