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Polynomial satisfy - rational root theorem, Example: prove that the roots ...

Example: prove that the roots of the below given polynomial satisfy the rational root theorem. P ( x ) = 12x 3 - 41x 2 - 38x + 40 = ( x - 4) (3x - 2) ( 4x +5) Solution

Equations with radicals, The title of this section is perhaps a little misl...

The title of this section is perhaps a little misleading.  The title appears to imply that we're going to look at equations which involve any radicals.  However, we are going to li

Complex solutions of quadratic equations, These are the only possibilities ...

These are the only possibilities for solving quadratic equations in standard form.  However Note that if we begin with rational expression in the equation we might get different so

Proofs, m?1=m?2 m?2=75 m?1=75

m?1=m?2 m?2=75 m?1=75

FACTORING, HOW TO FACTOR THE GIVEN

HOW TO FACTOR THE GIVEN

Non real complex components.., I need help solving the following Algebra pr...

I need help solving the following Algebra problem. Give all solutions of the nonlinear system of equations, including those with nonreal complex components. xy=-20 3x+5y=5

Pronumeral, A hotel places several small packs of butter on tables at break...

A hotel places several small packs of butter on tables at breakfast. The number of packs is given by the formula: b=3xg+1. B is the number of packs of butter, and g is the number

Complex number, let x,y,z be the complex number such that x+y+z=2,x^2+y^2+z...

let x,y,z be the complex number such that x+y+z=2,x^2+y^2+z^=3,x*y*z=4,then 1/(x*y+z-1)+1/(x*z+y-1)+1/(y*z+x-1) is

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