document.write( "Question 92350: Factor each of the following polynomials completly\r
\n" ); document.write( "\n" ); document.write( "14x^2 - 20x + 6 \n" ); document.write( "

Algebra.Com's Answer #67193 by prabhjyot(165) $\"\"$ $\"About$

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$\"+14x%5E2+-+20x+%2B+6+\"$
\n" ); document.write( "Compare above equation with standard quad equation $\"ax%5E2%2Bbx%2Bc\"$
\n" ); document.write( "we get
\n" ); document.write( "a = 14
\n" ); document.write( "b = -20
\n" ); document.write( "c = 6\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Discriminant: $\"b2-4ac\"$ = $\"20%5E+2-4%2A14%2A6+=+64+\"$ \r
\n" ); document.write( "\n" ); document.write( "Discriminant (64) is greater than zero. The equation has two solutions.
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "or
\n" ); document.write( " $\"x+=+%28-%28-20%29+%2B-+sqrt%28+%28-20%29%5E2-4%2A14%2A6+%29%29%2F%282%2A14%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "x1,2 = (20 ą 8) / 2*14
\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "x1 = 28 / 28 = 1
\n" ); document.write( "x2 = 12 / 28 = 3/7\r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "x1,2 = 1, 0.428\r
\n" ); document.write( "\n" ); document.write( "Equation factored:\r
\n" ); document.write( "\n" ); document.write( "14(x-1)(x-0.428)
\n" ); document.write( " \n" ); document.write( "

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