Determine the equation of the polynomial function, given these set of points,that lie on the graph of the fxn?

Question

a) (-1,-27) , (0,-11), (1,-5), (2,-3) , (3,1) , (4.13)

After a longass procedure, I managed to get the equation: x^3-11x^2+42x - 59 , not sure if this is correct though.

b) (0,4) , (1,15) , (2,32) , (3,67), (4,132), (5,239)

Answer 1

I used a calculator and got x^3-5x^2+10x-11.

The second: 2x^3-3x^2+12x+4

Answer 2

You will need to plot all points and observe the  type curve; could be u-shape which is x^2 type equation could be a x^3 type equation.

Try the zero point to make your equation true....

Only the graph can tell you.