David L. answered • 12/13/19

Ph.D. Chemist tutoring math and science

Recall that if a polynomial equation can be factored into the form

0= (x-a)(x-b)(x-c), the intercepts will be at the x values of a, b and c.

You have been asked to do the reverse. Given intercepts of -1, 2 and 3, let a= -1, let b=2 and let c=3.

Plug into the above equation to get

0= (x+1)(x-2)(x-3)

Note that for three x intercepts, the minimum degree of the polynomial will be 3. There are no extra or duplicated roots in the above.

Multiply this out to get the final answer

f(x)= x^3 - 4x^2 + x + 6

David L.

12/14/19

Stanton D.

As an equation for a function that's f(x) = x^3 -4x^2 + 612/13/19