document.write( "Question 1129875: List the possible solutions:
\n" ); document.write( "\"P%28x%29=-3x%5E5-x%5E3-4x%5E4-5\"
\n" ); document.write( "I tried grouping but that was a dead end and I don't know what else to do with this because it has 4 terms. Could you please help?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #746510 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
Use The Rational Zeros Theorem since all the coefficients are integers
\n" ); document.write( ":
\n" ); document.write( "-3x^5 -x^3 -4x^4 -5 = 0
\n" ); document.write( ":
\n" ); document.write( "possible solutions or zeros are where f(x) crosses the x-axis
\n" ); document.write( ":
\n" ); document.write( "since the max degree of the given polynomial is 5, we expect to have 5 solutions
\n" ); document.write( ":
\n" ); document.write( "every rational zero of the given polynomial has the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient
\n" ); document.write( ":
\n" ); document.write( "constant term is -5 and the leading coefficient is -3
\n" ); document.write( ":
\n" ); document.write( "the factors of p are +or-1, +or-5
\n" ); document.write( ":
\n" ); document.write( "the factors of q are +or-1, +or-3
\n" ); document.write( ":
\n" ); document.write( "we have +or-1/1, +or-1/3, +or-5/1, +or-5/3
\n" ); document.write( ":
\n" ); document.write( "
\n" ); document.write( "
\n" );