document.write( "Question 90282: I need help with this question and I have absolutely no clue how to do it. It states: find all the zeros of the function: x^3+3x^2-x+12 \n" ); document.write( "
Algebra.Com's Answer #65524 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
find all the zeros of the function: f(x) = x^3+3x^2-x+12
\n" ); document.write( "I graphed it and found a zero at x=-4
\n" ); document.write( "----------
\n" ); document.write( "Using synthetic division find the following:
\n" ); document.write( "-4)....1....3....-1....12
\n" ); document.write( "........1....-1....3...|..0\r
\n" ); document.write( "\n" ); document.write( "===============
\n" ); document.write( "Remainder = 0 because x=-4 is a zero
\n" ); document.write( "Quotient is x^2-x+3
\n" ); document.write( "--------------
\n" ); document.write( "Find the zeroes of x^2-x+3 using the quadratic formula:
\n" ); document.write( "x=[1+-sqrt(1-4*1*3)]/2
\n" ); document.write( "x=[1+-sqrt(13)]/2
\n" ); document.write( "x= (1+sqrt(13))/2 or x=(1-sqrt(13))/2
\n" ); document.write( "==================
\n" ); document.write( "You now have three zeroes of f(x)
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );