Algebra Problem

Algebra Level 3

Find the product of all possible value of x x (real or complex solution):

x 4 − 6 x 3 + 2 x 2 + 96 x − 144 = 0 { x }^{ 4 }-6{ x }^{ 3 }+2{ x }^{ 2 }+96x-144=0


The answer is -144.

Victor Paes Plinio by Victor Paes Plinio , 21, Brazil

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2 solutions

Harsh Shrivastava
Aug 16, 2014

By Vieta's Formula product of roots in a monic polynomial is equal to 1(constant term) for even degree polynomial & -1(constant term) for odd degree polynomials.Therefore product of roots = "-144" .

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I made a careless mistake.

William Isoroku - 6 years, 9 months ago
Sady Stark
Jul 21, 2014

The given eqn has 3 +ve roots and 1-ve root. So all roots r real....and so the product of all real roots is -144

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apply vieta formula

Mardokay Mosazghi - 6 years, 10 months ago

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