find an equation for a ploynomial function with zeros, negative 8, negative 3 over 4, 1 over 5, and 2.

hey it is 53h8kkds

f (x) = x(x+8)(x+ 3/4)(x- 1/5)(x-2)
will be zero when any one of the factors is zero. Multiply the factors to get the polynomial form.

To find an equation for a polynomial function with the given zeros, we can use the zero product property. This property states that if a product of factors is equal to zero, then at least one of the factors must be zero.

The zeros given are -8, -3/4, 1/5, and 2.

To form the equation, we can use the fact that when a factor is zero, the entire product will be zero. Therefore, a factor (x - a) will result in a zero when x = a.

Using this concept, we can set up the equation:

f(x) = (x - (-8))(x - (-3/4))(x - (1/5))(x - 2)

Simplifying:

f(x) = (x + 8)(x + 3/4)(x - 1/5)(x - 2)

Therefore, the equation for the polynomial function with the given zeros is:

f(x) = (x + 8)(x + 3/4)(x - 1/5)(x - 2)