document.write( "Question 79143: Graph the following polynomials by using the zero product property and end behavior.\r
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document.write( "y= -(x+5)(x-3)(x-6)
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document.write( "y= (x+4)^2(x-1)(x-3) \n" );
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Algebra.Com's Answer #56869 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! y= -(x+5)(x-3)(x-6) \n" ); document.write( "The zeroes are x=-5, x=3, x=6 \n" ); document.write( "Mark those points on the x-axis. \n" ); document.write( "-------- \n" ); document.write( "If you were to multiply out the right side the highest power term \n" ); document.write( "would be -x^3 and the y=intercept would be at -5*-3*-6=-90 \n" ); document.write( "Therefore as x gets larger y gets very negative \n" ); document.write( "So off toward the right of x=6 sketch the curve going down \n" ); document.write( "----------------- \n" ); document.write( "Also as x gets more and more negative y gets very positive \n" ); document.write( "So off to the left of x=--5 sketch the curve coming down to the \n" ); document.write( "x-axis from above. \n" ); document.write( "--------------- \n" ); document.write( "So, from left to right: \n" ); document.write( "The curve comes down to x=-5 \n" ); document.write( "It crosses the x-axis at x=-5 \n" ); document.write( "It crosses the y-axis at -90 \n" ); document.write( "it crosses the x axis at x=3 \n" ); document.write( "It turns around and crosses the x-axis at x=6 \n" ); document.write( "It gets more and more negative as x gets more and more positive. \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y= (x+4)^2(x-1)(x-3) \n" ); document.write( " \n" ); document.write( " |