What are the zeroes of the function? y=(x−3)(x−1)(x+5)

1 answer

The zeroes of the function y=(x−3)(x−1)(x+5) can be found by setting y equal to zero and solving for x:

0 = (x−3)(x−1)(x+5)

Since the product of factors is equal to zero, at least one of the factors must be zero.

Setting each factor equal to zero, we have:

x - 3 = 0 --> x = 3

x - 1 = 0 --> x = 1

x + 5 = 0 --> x = -5

Therefore, the zeroes of the function are x = 3, x = 1, and x = -5.