The linear factors of the polynomial function are f(x) = - (1/1500) · (x + 20) · (x + 5) · (x - 15).
How to find the linear factors of a cubic equation
Cubic equations are polynomials of third grade, whose standard and factor forms are shown below:
Standard form
y = a · x³ + b · x² + c · x + d
Factor form
y = (x - r₁) · (x - r₂) · (x - r₃)
Where r₁, r₂, r₃ are the zeros of the cubic equation.
There are several approaches to find the roots of the polynomial, in this question we decided to use the graphical approach, which offers sufficiency and quickness for analysis. The roots of the polynomials are the points that pass through the x-axis.
In accordance with the image attached below, the polynomial has three real roots: r₁ = - 20, r₂ = - 5, r₃ = 15. Then, the linear factors of the polynomial function are f(x) = - (1/1500) · (x + 20) · (x + 5) · (x - 15).
To learn more on cubic equations: https://brainly.com/question/13730904
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