Answer:
Only 2 and -5 are roots. Any other number is not a root.
Step-by-step explanation:
The zeros of the function are the x-intercepts and are found by factoring the equations and solving for x using the zero product property.
The f(x) = (x2 - 4x + 4) (x2 + 3x - 10) = 0 can factor into
f(x) = (x -2)(x-2)(x+5)(x-2) = 0.
Set each factor equal to 0 and solve.
x - 2 = 0 so x = 2. This repeats twice.
x + 5 = 0 so x = -5.
So the zeros are 2, -5.
