document.write( "Question 848838: Find a fourth-degree polynomial P(x) that has zeros at
\n" ); document.write( "x = 0, x = 1, x = −1, and x = −4,
\n" ); document.write( "and whose x^2-term has coefficient 7. \n" ); document.write( "

Algebra.Com's Answer #511276 by swincher4391(1107) $\"\"$ $\"About$

You can put this solution on YOUR website!
x = 0 ----> x
\n" ); document.write( "x = 1 ----> x-1
\n" ); document.write( "x=-1 ------> x+1
\n" ); document.write( "x=4 ------>x-4\r
\n" ); document.write( "\n" ); document.write( " $\"x%2A%28x-1%29%2A%28x%2B1%29%2A%28x-4%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E4+-+4x%5E3+-x%5E2+%2B+4x\"$ \r
\n" ); document.write( "\n" ); document.write( "We need x^2 to have coefficient 7, but we have -1. So multiply the entire polynomial -7.\r
\n" ); document.write( "\n" ); document.write( " $\"-7x%5E4%2B28x%5E3%2B7x%5E2-28x\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );