document.write( "Question 959082: For f(x)= x^4+25x^2 + 144 answer the following questions.
\n" ); document.write( "
\n" ); document.write( "a) How many zeros will f(x) have?
\n" ); document.write( "
\n" ); document.write( "b) Find all the zeros of f(x).
\n" ); document.write( "
\n" ); document.write( "c) Factor f(x).
\n" ); document.write( "
\n" ); document.write( "d) What are the x intercepts of f(x)?
\n" ); document.write( "

Algebra.Com's Answer #586171 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
a) 4, same as the degree of the polynomial.
\n" ); document.write( "b,c) \"x%5E4%2B25x%5E2+%2B+144+=%28x%5E2%2B9%29%28x%5E2%2B16%29=0\"
\n" ); document.write( "\"x%5E2%2B9=0\"
\n" ); document.write( "\"x=0+%2B-+3i\"
\n" ); document.write( "and
\n" ); document.write( "\"x%5E2%2B16=0\"
\n" ); document.write( "\"x=0+%2B-+4i\"
\n" ); document.write( "d) Since the zeros are all complex, there are no x intercepts. The curve never crosses the x-axis.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"graph%28300%2C300%2C-2%2C2%2C-20%2C180%2Cx%5E4%2B25x%5E2+%2B+144+%29\"
\n" ); document.write( "
\n" );