document.write( "Question 764422: i'm still very confused on how to do this, especially getting the p/q list. can you help with this problem please? this is with the RATIONAL ROOT THEOREM\r
\n" ); document.write( "\n" ); document.write( "find all zeros of f(x)
\n" ); document.write( "f(x)=x^4-4x^3-7x+28x
\n" ); document.write( "Hint: first factor out an x, then get the p/q list
\n" ); document.write( "keep answers in fractional form. \r
\n" ); document.write( "\n" ); document.write( "help me please! i don't fully understand this
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Algebra.Com's Answer #465429 by josgarithmetic(39618) $\"\"$ $\"About$

You can put this solution on YOUR website!
The question basically asks to determine the list of all possible rational root values to test or check for.\r
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\n" ); document.write( "\n" ); document.write( "You would have in general, something like $\"y=ax%5E3%2Bbx%5E2%2Bcx%2Bd\"$ .
\n" ); document.write( "All possible factors of 'a' give the individual values of q to use in p/q;
\n" ); document.write( "All possible factors of d give the individual values of p to use in p/q.\r
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\n" ); document.write( "\n" ); document.write( "Check you polynomial in general form, and completely factor, or find all possible factors of a. Find all possible factors of d.
\n" ); document.write( "Now, form ALL possible rational numbers using your lists of p and q. \r
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\n" ); document.write( "\n" ); document.write( "Your example is $\"+f%28x%29=x%28x%5E3-4x%5E2-7x%2B28%29\"$ , assuming you forgot to put the exponent on one of your terms.\r
\n" ); document.write( "\n" ); document.write( "Your 'a' is a=1, so the only factor is 1.
\n" ); document.write( "Your d is d=28, and its factors are PLUS AND MINUS 1, 2, 4, 7, 14, 28.\r
\n" ); document.write( "\n" ); document.write( "Your possible rational values to check about roots for f(x) are the values p/q from the list PLUS AND MINUS of 1, 2, 4, 7, 14, 28.
\n" ); document.write( "Since you are told to give your answer in factored form, you want to say,
\n" ); document.write( " $\"-1%2F1\"$ , $\"-1%2F2\"$ , $\"-1%2F4\"$ , $\"-1%2F7\"$ , $\"-1%2F14\"$ , $\"-1%2F28\"$ , $\"1%2F1\"$ , $\"1%2F2\"$ , $\"1%2F4\"$ , $\"1%2F7\"$ , $\"1%2F14\"$ , $\"1%2F28\"$ \n" ); document.write( "

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