Question

Find the zeros of the equation x(x-3)(x+6)(x-7)=0

Answer 1

So for this, we will be applying the Zero Product Property, which states that "if a × b = 0, then either a = 0 or b = 0 or both a and b = 0". In this case, we have 4 variables, a = x, b = x - 3, c = x + 6, and d = x - 7. Solve each variable:

`x=0\\\\x-3=0\\x=3\\\\x+6=0\\x=-6\\\\x-7=0\\x=7`

Your zeros are (0,0), (3,0), (-6,0), and (7,0).