solve 6x^3-13x^2+x+2=0 using a graphing calculator. then use your answer to write the given function in factored form. (do not use the factor theorem to factor this.) (6 marks)

Answer 1

How do you propose we show a "graphing calculator" solution on here ?

since choices of x+ ±1, ±2 are the obvious first guesses and x = 2 can be found to be a solution in a few seconds,
I then did a synthetic division to get
6x^3-13x^2+x+2=0
(x-2)(6x^2 - x - 1) = 0
(x-2)(3x+1)(2x-1) = 0

x = 2 or -1/3 or 1/2