Question

Find the polynomial with leading coefficient 2 that has the degree 3 and zeros 2, 3/2, and 5/2?

Answer 1

`2x^3-12x^2+47/2x-15`

Explanation:

We can express the roots of some function as

`(x-"root")`

Therefore we can do this with all our roots so

`(x-2)(x-3/2)(x-5/2) rarr x^3-6x^2+47/4x-15/2`

We are told our leading coefficient is 2 so we must multiply our entire function by 2.

`2x^3-12x^2+47/2x-15`