Given:
Zeros : 2, 0 and -3
Let's determine the polynomial function by multiplying the factors based on the given Zeros.
Zeros : 2, 0 and -3
Factors : (x - 2), (x) and (x + 3)
We get,
Step 1: Multiplying the first and second factors.
(x - 2)(x)
x² - 2x
Step 2: Multiply the product of the first factor by the third factor.
(x² - 2x)(x + 3)
(x²)(x) + (x²)(3) + (-2x)(x) + (-2x)(3)
(x³) + (3x²) + (-2x²) + (-6x)
(x³) + (x²) + (-6x)
x³ + x² - 6x
Therefore, the answer is:
x³ + 1x² - 6x