document.write( "Question 1081690: Express f(x)= x^3-7x^2+18x-13 as a polynomial in powers of (x-3). Hence,show that f(x)>0 for all x>3. \n" ); document.write( "
Algebra.Com's Answer #702894 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"f%28x%29=+x%5E3-7x%5E2%2B18x-13\"\r\n" );
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document.write( "Let \"t+=+x-3\"\r\n" );
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document.write( "\"x+=+t%2B3\"\r\n" );
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document.write( "\"f%28x%29=f%28t%2B3%29=%28t%2B3%29%5E3-7%28t%2B3%29%5E2%2B18%28t%2B3%29-13\"\"%22%22=%22%22\" \r\n" );
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document.write( "\"%28t%2B3%29%28t%2B3%29%28t%2B3%29-7%28t%2B3%29%28t%2B3%29%2B18%28t%2B3%29-13\"\r\n" );
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document.write( "Multiply all that out, collect like terms, and you'll get\r\n" );
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document.write( "Edwin
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