Creat an equation for a cubic function, in standard form, that has x- intercept given by the set {-3,1,7} and which passes through the points (-2,54)

Given :

Set of x-intercepts {-3,1,7},

point through which it passes (-2,54)

Now,

Step 1: Substitute value of x intercepts in equation, , we get,

              ... equation (1)

Step 2: substitute x an y with the point through which it passes,

∴

Step 3: Now, substituting value of a in equation (1), we have

  (Requited cubic equation)