Question

Find the zeros:
Y=x(x+5)(x-2)(x-6)

I know the answer is x= 0,-5,2,6
but i don’t know how to solve it
can someone help me pls

Answer 1

it works because our number system has no zero divisors. This is sometimes called the zero property of multiplication.

if a*b = 0
either a=0 or b=0.

Thus, if x(x+5)(x-2)(x-6) = 0 then either
x = 0
x+5 = 0
x-2 = 0
x-6 = 0