document.write( "Question 125383: Please find the x-intercept to y=3x^3-14x^2+17x-6. \n" ); document.write( "
Algebra.Com's Answer #91877 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! the coefficients add up to zero so x=1 is a zero of the polynomial. \n" ); document.write( "Use synthetic division to find the other factor: \n" ); document.write( "1)....3....-14....+17....-6 \n" ); document.write( "........3.....-11....6...|..0 \n" ); document.write( "Quotient: 3x^2-11x+6 \n" ); document.write( "--------------------------- \n" ); document.write( "Use the quadratic formula to find the remaining zeroes: \n" ); document.write( "x = [11 +- sqrt(121-4*3*6]/6 \n" ); document.write( "x = [11 +- sqrt(49)]/6 \n" ); document.write( "x = 3 or x = 2/3 or x = 1 \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |