document.write( "Question 920961: Find the polynomial of least degree having zeros; sqrt^7, -5, and 6 \n" ); document.write( "

Algebra.Com's Answer #558664 by MathLover1(20850) $\"\"$ $\"About$

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given zeros: $\"sqrt%287%29=2.65\"$ , $\"+-5\"$ , and $\"6\"$ \r
\n" ); document.write( "\n" ); document.write( "find: the polynomial of least degree \r
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\n" ); document.write( "\n" ); document.write( "use zero product formula\r
\n" ); document.write( "\n" ); document.write( " $\"%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29\"$ substitute $\"x%5B1%5D=sqrt%287%29\"$ , $\"x%5B2%5D=-5\"$ , and $\"x%5B3%5D=6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-sqrt%287%29%29%28x%2B5%29%28x-6%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2%2B5x-sqrt%287%29%2Ax-5sqrt%287%29%29%28x-6%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E3-sqrt%287%29x%5E2-x%5E2%2Bsqrt%287%29x-30x%2B30sqrt%287%29\"$ ...or we can use $\"sqrt%287%29=2.65\"$ approximately \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E3-2.65x%5E2-x%5E2%2B2.65x-30x%2B30%2A2.65\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E3-3.65x%5E2-27.35x%2B79.5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+90%2C+x%5E3-3.65x%5E2-27.35x%2B79.5%29+\"$ \r
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