Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

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

Fish
Guest

Algebra

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
Administrator
Registered: 2010-06-20
Posts: 8,400

Re: Algebra

hi Fish,

Welcome to the forum.

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

Here is the answer:

http://www.mathisfunforum.com/viewtopic.php?id=24336

Bob


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

Offline

Board footer

Powered by FluxBB