document.write( "Question 552308: I need help writing a polynomial:\r
\n" ); document.write( "\n" ); document.write( "Write a polynomial of the smallest degree with roots -8, 9, 10, and -11. Type your answer in standard form, with the equation equal to zero.\r
\n" ); document.write( "\n" ); document.write( "Thanks! \n" ); document.write( "

Algebra.Com's Answer #360229 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
If a polynomial has 9 for a root, (x-9) is a factor of the polynomial.
\n" ); document.write( "A polynomial with roots -8, 9, 10, and -11, has as a factor
\n" ); document.write( " $\"%28x%2B8%29%28x-9%29%28x-10%29%28x%2B11%29\"$
\n" ); document.write( "I don't see an easier way, so I'll grit my teeth and multiply:
\n" ); document.write( "

\n" ); document.write( "That is the simplest polynomial for the answer, and it's in standard form.
\n" ); document.write( "Multiplying it by a factor with x to any exponent would make it a polynomial of higher degree. Multiplying it by any number, would give you another acceptable answer, but would be unnecessary extra work.
\n" ); document.write( " $\"x%5E4-183x%5E2%2B38x%2B7920=0\"$ is a suitable answer. \n" ); document.write( "

\n" );