document.write( "Question 107150: the problems is to write the equation of a polynomial function with the given characteristics. Use a leading coefficient of 1 or -1 and make the degree as small as possible. Crosses the x- axis at -4, 0 and 1; lies above the x axis between -4 and 0; lies below the x - axis between o and 1. I have searched the internet and my textbook but can not find how to solve this problem. the question is one that my teacher gave us it is not in the textbook. \n" ); document.write( "
Algebra.Com's Answer #77975 by stanbon(75887)\"\" \"About 
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the problems is to write the equation of a polynomial function with the given characteristics. Use a leading coefficient of 1 or -1 and make the degree as small as possible. Crosses the x- axis at -4, 0 and 1; lies above the x axis between -4 and 0; lies below the x - axis between o and 1.
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\n" ); document.write( "1st: f(x) = x(x+4)(x-1) or
\n" ); document.write( "2nd: f(x) = -x(x+4)(x-1)\r
\n" ); document.write( "\n" ); document.write( "Check to see which one has f(-2) > 0 , that is \" above the x-axis\".\r
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\n" ); document.write( "1st equation:
\n" ); document.write( "f(-2)= -2(2)(-3)= 12 > 0
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\n" ); document.write( "2nd equation:
\n" ); document.write( "f(-2) =-[-2(2)(-3)] = -12 < 0
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\n" ); document.write( "1st equation is the one you want
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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