document.write( "Question 908219: How do I find the 4 x- and single y-intercepts of this polynomial?\r
\n" ); document.write( "\n" ); document.write( "\"y=-x%5E4%2B13x%5E2-36\"\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "

Algebra.Com's Answer #550929 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi
\n" ); document.write( "y-intercept(when x = 0) is -36
\n" ); document.write( "x-intercepts: -3,-2,2,3 can be found with Synthetic Division noticing x=2 is one root
\n" ); document.write( "2 -1 0 13 0 -36
\n" ); document.write( " -2 -4 18 36
\n" ); document.write( " -1 -2 9 18 0
\n" ); document.write( "(x-2)(-x^3 -2x^2 +9x + 18) Note: x = -2 root for -x^3 -2x^2 +9x + 18
\n" ); document.write( "-2 -1 -2 9 18
\n" ); document.write( " 2 0 -18
\n" ); document.write( " -1 0 9 0
\n" ); document.write( "(x-2)(x+2)(-x^2 + 9)
\n" ); document.write( "((x-2)(x+2)(x-3)(x+3)
\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "
\n" );