document.write( "Question 468490: 3. Use the remainder theorem to find the remainder when f(x) is divided by x-2 . Then use the factor theorem to determine whether x-2 is a factor of f(x). Please show all of your work.
\n" ); document.write( " f(x)=2x^6-4x^5+2x²+7x-6 \n" ); document.write( "
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3. Use the remainder theorem to find the remainder when f(x) is divided by x-2 . Then use the factor theorem to determine whether x-2 is a factor of f(x). Please show all of your work.
\n" ); document.write( "f(x)=2x^6-4x^5+2x²+7x-6
\n" ); document.write( "...
\n" ); document.write( "using synthetic division to find remainder when f(x) is divided by x-2.
\n" ); document.write( "0).....2.....-4.....0.....0.....2.....7.....-6
\n" ); document.write( "2).....2......0......0.....0.....2....11....16
\n" ); document.write( "f(x)=(2x^5+2x+11)+Remainder=16
\n" ); document.write( "..
\n" ); document.write( "Using Factor Theorem:
\n" ); document.write( "f(2)=128-128+8+14-6=16
\n" ); document.write( "..
\n" ); document.write( "ans:
\n" ); document.write( "x-2 is a factor of f(x) \n" ); document.write( "
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