document.write( "Question 1132057: The equation of y=x³+4x²+x-6 has roots α, β and γ. Find the value of
\n" ); document.write( "(i) α²+β²+γ²
\n" ); document.write( "(ii) α²β²γ²
\n" ); document.write( "(iii) (α+β)(β+γ)(γ+α)
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Algebra.Com's Answer #748916 by Boreal(15235)\"\" \"About 
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x^3+4x^2+x-6=0
\n" ); document.write( "with synthetic division, using -3
\n" ); document.write( "1-----4----1---- -6
\n" ); document.write( "1-----1--- -2-----0
\n" ); document.write( "(x+3)(x^2+x-2)=0, so -3 is a root
\n" ); document.write( "(x+3)(x+2)(x-1)=0
\n" ); document.write( "roots are -3, -2, and +1\r
\n" ); document.write( "\n" ); document.write( "(i) is 14\r
\n" ); document.write( "\n" ); document.write( "(ii) is 36\r
\n" ); document.write( "\n" ); document.write( "(iii) is (-5)(-1)(-2)=-10\r
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