document.write( "Question 1148163: For the function below neatly solve for x. Show all work.
\n" ); document.write( "𝑓(𝑥) = 6𝑥^3 + 25𝑥^2 − 24𝑥 + 5
\n" ); document.write( "Once you have the function down to a factorable function, either factor (if possible or use the quadratic formula to find the remainder of the zeros (real and/or imaginary).
\n" ); document.write( "Be sure that the number of solutions matches the degree. Put solutions in a
\n" ); document.write( "solution box (i.e. write all solutions together and circle/box them) \n" ); document.write( "
Algebra.Com's Answer #769521 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "By trial and error with from a list of the possible rational roots -- or, much better, by finding the roots with a graphing calculator -- determine that one root is -5. Then reduce the polynomial using synthetic division.
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document.write( "    -5  |  6  25  -24   5\r\n" );
document.write( "        |    -30   25  -5\r\n" );
document.write( "        +-----------------\r\n" );
document.write( "           6  -5    1   0

\n" ); document.write( "So

\n" ); document.write( "\"6x%5E3%2B25x%5E2-24x%2B5+=+%28x%2B5%29%286x%5E2-5x%2B1%29\"

\n" ); document.write( "Then the quadratic factors nicely:\n" ); document.write( "\"6x%5E3%2B25x%5E2-24x%2B5+=+%28x%2B5%29%283x-1%29%282x-1%29\"

\n" ); document.write( "And so the roots are -5, 1/3, and 1/2.

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