document.write( "Question 1177057: Show that (x-1) (x+1) is a factor of f(x)=3x^50-3 \n" ); document.write( "

Algebra.Com's Answer #805264 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "3x^50 - 3 = 3*(x^50-1) = 3*((x^2)^25-1) = 3*(x^2-1)*(1 + x^2 + x^4 + x^6 + . . . + x^48).\r\n" );
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document.write( "Here I used the formula for the sum of an geometric progression\r\n" );
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document.write( "    1 + z + z^2 + z^3 + . . . + z^(n-1) = \r\n" );
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document.write( "with z = x^2.\r\n" );
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