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

1 Answer
RedRobin9688
Jun 26, 2018

#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#

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