# SOLUTION: Sketch the following polynomial and identify all intercepts, zeros, and include a chart showing points that are necessary to sketch the polynomial: y=3x^3-14x^2+17x-6 Thanks in

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: Sketch the following polynomial and identify all intercepts, zeros, and include a chart showing points that are necessary to sketch the polynomial: y=3x^3-14x^2+17x-6 Thanks in      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 125340: Sketch the following polynomial and identify all intercepts, zeros, and include a chart showing points that are necessary to sketch the polynomial: y=3x^3-14x^2+17x-6 Thanks in advance for the help. I already know how to make the chart, but the rest of the problem is troubling me.Answer by stanbon(57387)   (Show Source): You can put this solution on YOUR website!Sketch the following polynomial and identify all intercepts, zeros, and include a chart showing points that are necessary to sketch the polynomial: y=3x^3-14x^2+17x-6 ------------------------ the coefficients add up to zero so x=1 is a zero of the polynomial. Use synthetic division to find the other factor: 1)....3....-14....+17....-6 ........3.....-11....6...|..0 Quotient: 3x^2-11x+6 --------------------------- Use the quadratic formula to find the remaining zeroes: x = [11 +- sqrt(121-4*3*6]/6 x = [11 +- sqrt(49)]/6 x = 3 or x = 2/3 or x = 1 ============================== Cheers, Stan H.