Question

Write a cubic polynomial function in standard form given zeroes at: 0,1,-3

Answer 1

If the zeroes are 0, 1, -3

Then,

x = 0 , x= 1 or x = -3

Therefore

x=0 , x - 1= 0 or x + 3= 0

`\begin{gathered} x\text{ (x-1)(x+3)=0} \\ x(x^2+3x-x-3)=0\text{ (add like terms)} \\ x(x^2+2x-3)=0\text{ (remove bracket)} \\ x^3+2x^2-3x=0\text{ (This the cubic function)} \end{gathered}`