document.write( "Question 1118793: f(x)= $\"+x%5E3%2B3x%5E2%2B2x%2B5+\"$
\n" ); document.write( "find the monic polynomial g(x) whose roots are 7 units to the left of f(x)
\n" ); document.write( "find the monic polynomial h(x) whose roots are 4 times the roots of f(x) \n" ); document.write( "

Algebra.Com's Answer #734224 by ikleyn(52841) $\"\"$ $\"About$

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\n" ); document.write( "f(x)= $\"+x%5E3%2B3x%5E2%2B2x%2B5+\"$
\n" ); document.write( "(a) find the monic polynomial g(x) whose roots are 7 units to the left of f(x)
\n" ); document.write( "(b) find the monic polynomial h(x) whose roots are 4 times the roots of f(x)
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document.write( "     Answer.  g(x) = .\r\n" );
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document.write( "              If \"x\" is the root of f(x), then (x-7), which is 7 units to the left from \"x\", is the root to g(x),\r\n" );
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document.write( "              i.e. satisfies the given requirement.\r\n" );
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\n" ); document.write( "\n" ); document.write( "(b) find the monic polynomial h(x) whose roots are 4 times the roots of f(x)\r
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document.write( "     Answer.   h(x) = .\r\n" );
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document.write( "               If \"x\" is the root of f(x), then 4x, which is 4 times \"x\", is the root to h(x),  and h(x) is a monic polynomial,\r\n" );
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document.write( "               i.e. satisfies all the given requirements.\r\n" );
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