Consider the polynomial equation x (x-3) (x+6) (x-7) = 0. What are the zeros of the equation?

Hello:

x (x-3) (x+6) (x-7) = 0

x=0 or x-3=0 or x+6=0 or x-7=0

x=0 or x=3 or x=-6 or x=7

the zeros of the equation : 0, 3, - 6, 7

Anything times zero is equal to zero

hence for,

x (x-3) (x+6) (x-7) = 0

only one of the groups/parenthesis must be equal to zero

therefore

x=0

x-3=0

x+6=0

x-7=0

just solve for all the x's, all those values are considered zeros of the equation