Question

A cubic function "y" has real coefficient, and its zeros are 0, 1, and -4. If x = 5 and y = 540 satisfies its equation, find the equation of the cubic function in standard form. Let the leading coefficient be "a" if necessary.

Answer 1

Let's begin by listing out the information given to us:

A cubic function has the general form of:

`\begin{gathered} \displaystyle f(x)=ax^3+bx^2+cx+d \\ f(x)=y \\ y=ax^3+bx^2+cx+d \end{gathered}`

The function has real coefficients

Its zeros are 0, 1 & -4