document.write( "Question 796422: Show that the given values of c are zeros of P(x), and find all other zeros of P(x).
\n" ); document.write( "P(x) = 4x4 − x3 − 28x2 − 17x + 6, c = 1/4, −2
\n" ); document.write( "x= ? (smallest value)
\n" ); document.write( "x= ? (largest value) \n" ); document.write( "
Algebra.Com's Answer #481397 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
given: \"P%28x%29+=+4x%5E4+-x%5E3+-28x%5E2+-+17x+%2B+6\", \"c+=+1%2F4\", \"c=-2\"\r
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\n" ); document.write( "\n" ); document.write( "\"0=4x%5E4+-x%5E3-28x%5E2+-17x+%2B+6\"
\n" ); document.write( "...
\n" ); document.write( "\"c+=+1%2F4\"
\n" ); document.write( "\"4c+=+1\"
\n" ); document.write( "\"4c+-+1+=+0\" => \"%284x-1%29\"
\n" ); document.write( "...\"c+=+-2\"
\n" ); document.write( "\"c+%2B+2+=+0\" => \"%28x%2B2%29\"
\n" ); document.write( "...
\n" ); document.write( "\"%284x-1%29%28x%2B2%29\"\r
\n" ); document.write( "\n" ); document.write( "From the given zeros we know
\n" ); document.write( "\"4x%5E2%2B7x-2\"
\n" ); document.write( "...
\n" ); document.write( "To find the remaining factors, divide
\n" ); document.write( "\"%284x%5E4+-x%5E3+-28x%5E2+-17x+%2B+6%29%2F%284x%5E2%2B7x-2%29=0\"........factor both numerator and denominator
\n" ); document.write( "...
\n" ); document.write( "\"%28%284+x-1%29+%28x%2B1%29+%28x%2B2%29+%28x-3%29%29%2F%28%284x-1%29%28x%2B2%29%29=0\"......simplify\r
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\n" ); document.write( "\n" ); document.write( "\"+%28x%2B1%29+%28x-3%29=0\"\r
\n" ); document.write( "\n" ); document.write( "All four zeros:\r
\n" ); document.write( "\n" ); document.write( "\"1%2F4\", \"-+2\" : given
\n" ); document.write( "\"3\", \"-1\" : solved\r
\n" ); document.write( "\n" ); document.write( "so, \r
\n" ); document.write( "\n" ); document.write( "\"x=+-2\" (smallest value)
\n" ); document.write( "\"x=3\" (largest value)\r
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\n" ); document.write( "\n" ); document.write( "\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+4x%5E4+-x%5E3+-28x%5E2-17x+%2B+6%29+\"\r
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