document.write( "Question 597016: if x=square root 7 is aroot of x^3-3x^2-7x+21=0, use synthetic division to factor the polynomial completely and list all real solutions of the equation.\r
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Algebra.Com's Answer #378006 by lwsshak3(11628) $\"\"$ $\"About$

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if x=square root 7 is aroot of x^3-3x^2-7x+21=0, use synthetic division to factor the polynomial completely and list all real solutions of the equation.
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\n" ); document.write( "..√7..|...1...-3....-7....21
\n" ); document.write( "..............√7...7-3√7.-21
\n" ); document.write( "..........1..-3+√7..-3√7..0
\n" ); document.write( "f(x)=(x-√7)(x^2+(-3+√7)x-3√7)
\n" ); document.write( "..
\n" ); document.write( "x^2+(-3+√7)x-3√7
\n" ); document.write( "solve by following quadratic formula:
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "a=1, b=(-3+√7), c=-3√7
\n" ); document.write( "x=3
\n" ); document.write( "or
\n" ); document.write( "x≈-√7
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\n" ); document.write( "all real soltions: x=√7,-√7, and 3 \n" ); document.write( "

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