document.write( "Question 850059: The function p is a fourth-degree polynomial with x-intercepts 1.5, 3, and 8 and y-intercept -3. If p(x) is positive only on the interval (3, 8), find p(x). \n" ); document.write( "
Algebra.Com's Answer #511938 by josgarithmetic(39623)![]() ![]() ![]() You can put this solution on YOUR website! REMOVED. \n" ); document.write( "I had solved this but now disagree with my solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I would really need to fully re-solve this, but the actual equation in factored form will be \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Second solution, unrefined, was that either one of the factors were repeated or that a new unknown factor x-d would be needed. This was because degree four polynomial function must have four binomial factors, or in some way have a x^4 term when in general form.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I had tried \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Testing for a repeated binomial factor, found was exactly one interval over which the function were above or below the x-axis while all the other intervals were the opposite. I then picked the sign necessary to let the y-intercept be -3. The function shown at the top of this solution post was the one that worked. \n" ); document.write( " |