document.write( "Question 736771: How is this questions solved?\r
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document.write( "Consider the polynomial function p(x)=2x^3-9x^2+4x+15
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document.write( "Show using the intermediate therem that p(x) has a zero between -2 and 0. \n" );
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Algebra.Com's Answer #449995 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! See the web site below for additional explanation: \n" ); document.write( "http://www.mathsisfun.com/algebra/intermediate-value-theorem.html \n" ); document.write( ". \n" ); document.write( "p(x)=2x^3-9x^2+4x+15 \n" ); document.write( ". \n" ); document.write( "p(-2)=2(-2)^3-9(-2)^2+4(-2)+15 \n" ); document.write( "p(-2)=2(4)-9(4)+(-8)+15 \n" ); document.write( "p(-2)=8-36-8+15 \n" ); document.write( "p(-2)=-36+15 \n" ); document.write( "p(-2)=-21 (negative) \n" ); document.write( ". \n" ); document.write( "p(0)=2(0)^3-9(0)^2+4(0)+15 \n" ); document.write( "p(0)=0-0+0+15 \n" ); document.write( "p(0)=15 \n" ); document.write( ". \n" ); document.write( "Since p(-2) is NEGATIVE the function MUST cross y=0 to get to p(0). Because p(0) is POSITIVE.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |