Answer:
Step-by-step explanation:
Given the function f(x)=2x^2-4x-16
To know the amount of roots that the function have in common, we need to first factorize the expression as shown;
f(x)=2x^2-4x-16
f(x)=2x^2-8x-16
Let f(x) = 0
0 =2x^2-4x-16
2x^2-4x-16 = 0
Divide through by 2;
x^2-2x-8 = 0
x^2 - 4x + 2x - 8 = 0
x(x-4)+2(x-4) = 0
(x+2)(x-4) = 0
x = -2 and 4
Hence the roots of the function are -2 and 4. They did not have any common roots
