document.write( "Question 122093: ``Write a polynomial function with the given zeros.
\n" ); document.write( "1. -1,1,-6
\n" ); document.write( "2. 2,-2,-3
\n" ); document.write( "3. 2,1,3
\n" ); document.write( "4. 2,3,-3,-1
\n" ); document.write( "5. 0,-8,2
\n" ); document.write( "6. -10,0,2
\n" ); document.write( "Please help me. I really do not get this at all. \n" ); document.write( "
Algebra.Com's Answer #89639 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Write the polynomials having the following zeros:
\n" ); document.write( "1) -1, 1, 6
\n" ); document.write( "If the polynomial has these zeros, then you can write:
\n" ); document.write( "x = -1, so x+1 = 0
\n" ); document.write( "x = 1, so x-1 = 0
\n" ); document.write( "x = 6, so x-6 = 0
\n" ); document.write( " This means that:
\n" ); document.write( "\"%28x%2B1%29%28x-1%29%28x-6%29+=+0\" Multiply these factors using FOIL to get the generating polynomial:
\n" ); document.write( "\"%28x%2B1%29%28x-1%29%28x-6%29+=+%28x%5E2-1%29%28x-6%29\"=\"x%5E3-6x%5E2-x%2B6\" This is the polynomial.
\n" ); document.write( "Using the same technique:
\n" ); document.write( "2) 2, -2, -3
\n" ); document.write( "If the polynomial has these zeros, then you can write:
\n" ); document.write( "x = 2, so x-2 = 0
\n" ); document.write( "x = -2, so x+2 = 0
\n" ); document.write( "x = -3, so x+3 = 0
\n" ); document.write( "This means that:
\n" ); document.write( "\"%28x-2%29%28x%2B2%29%28x%2B3%29+=+0\" Multiply these factors using FOIL to get the generating polynomial:
\n" ); document.write( "\"%28x-2%29%28x%2B2%29%28x%2B3%29+=+%28x%5E2-4%29%28x%2B3%29\"=\"x%5E3%2B3x%5E2-4x-12\" This is the polynomial.
\n" ); document.write( "Do get the idea? \n" ); document.write( "
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