document.write( "Question 1065508: factoring all polynomials completely and finding the domain of this problem 16b^2-1/2b^2+11b-6 \n" ); document.write( "

Algebra.Com's Answer #680652 by Fombitz(32388) $\"\"$ $\"About$

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Numerator: $\"16b%5E2-1=%284b-1%29%284b%2B1%29\"$
\n" ); document.write( "Denominator cannot be factored to integers.
\n" ); document.write( "To determine the domain, find when the denominator is equal to zero and exclude these values from the domain,
\n" ); document.write( " $\"b%5E2%2B11b-6=0\"$
\n" ); document.write( " $\"b%5E2%2B11b%2B%2811%2F2%29%5E2=6%2B%2811%2F2%29%5E2\"$
\n" ); document.write( " $\"%28b%2B11%2F2%29%5E2=24%2F4%2B121%2F4\"$
\n" ); document.write( " $\"%28b%2B11%2F2%29%5E2=145%2F4\"$
\n" ); document.write( " $\"b%2B11%2F2=0+%2B-+sqrt%28145%29%2F2\"$
\n" ); document.write( " $\"b=-11%2F2%2B-+sqrt%28145%29%2F2\"$
\n" ); document.write( "So the domain is all reals except these two b values,
\n" ); document.write( " $\"b=-11%2F2%2Bsqrt%28145%29%2F2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"b=-11%2F2-sqrt%28145%29%2F2\"$
\n" ); document.write( " \n" ); document.write( "

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