Question

Use the given polynomial function to identify the zeros of the function and the multiplicity of each zero. Leave any remaining answer boxes empty. If one of the zeros is a decimal, be sure to record it as a fraction in lowest terms. g(x) = 12x(x - 9)(4x - 5)?

Answer 1

The zeros of the given polynomial function are x = 0, x = 9, and x = 5/4 with a multiplicity of 1.

Step-by-step explanation:

The given polynomial function is g(x) = 12x(x - 9)(4x - 5). To identify the zeros of the function, we set g(x) = 0 and solve for x.

Setting each factor equal to zero, we have:

12x = 0 -> x = 0

x - 9 = 0 -> x = 9

4x - 5 = 0 -> x = 5/4

So, the zeros of the function are x = 0, x = 9, and x = 5/4.

The multiplicity of each zero is 1 because each factor is linear and appears only once.