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#1 2018-05-09 19:19:38



Let f(x) be a quartic polynomial with integer coefficients and four integer roots. Suppose the constant term of f(x) is 6.

(a) Is it possible for x=3 to be a root of f(x)?

(b) Is it possible for x=3 to be a double root of f(x)?

Prove your answers.

#2 2018-05-09 19:27:56

bob bundy
Registered: 2010-06-20
Posts: 8,442

Re: Algebra

hi Fish,

Welcome to the forum.

This problem seemed familiar so I searched using the word 'quartic'.

Here is the answer:


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob Bundy smile


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