document.write( "Question 154518: Let f(x)=-x^3+3x^2-3x+1, and g(x) be f(x) divided by 1-x; solve for g(x) if 1-x is a factor of f(x).
\n" ); document.write( "a. g(x)=x^4-4x^3+6x^2-4x+1
\n" ); document.write( "b. g(x)=x^3-3x^2+3x-1
\n" ); document.write( "c. g(x)=-x^2+2x-1
\n" ); document.write( "d. g(x)=x^2-2x+1 \n" ); document.write( "

Algebra.Com's Answer #113772 by AnlytcPhil(1806) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"f%28x%29=-x%5E3%2B3x%5E2-3x%2B1\"$ , and $\"g%28x%29\"$ be $\"f%28x%29\"$ divided by $\"1-x\"$ ; solve for $\"g%28x%29\"$ if $\"1-x\"$ is a factor of $\"f%28x%29\"$ .
\n" ); document.write( "a. $\"g%28x%29=x%5E4-4x%5E3%2B6x%5E2-4x%2B1\"$
\n" ); document.write( "b. $\"g%28x%29=x%5E3-3x%5E2%2B3x-1\"$
\n" ); document.write( "c. $\"g%28x%29=-x%5E2%2B2x-1\"$
\n" ); document.write( "d. $\"g%28x%29=x%5E2-2x%2B1\"$
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document.write( "Let's first factor : \r\n" );
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document.write( "Regroup the terms:\r\n" );
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document.write( "Factor the first two terms as the difference of cubes:\r\n" );
document.write( "Factor out  out of the last two terms:\r\n" );
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document.write( "Factor out \r\n" );
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document.write( "Remove the inner parentheses:\r\n" );
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document.write( "Combine the two like terms:\r\n" );
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document.write( "Factor the second parentheses:\r\n" );
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document.write( "Write as a cube:\r\n" );
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document.write( "Now since\r\n" );
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document.write( "g(x) is f(x) divided by 1-x\r\n" );
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document.write( "So the correct choice is (d)\r\n" );
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document.write( "Edwin

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