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**djmccabie** a) Show that 2x-1 is a factor of the polynomial 2x³ - 3x² - 11x + 6

Find the other factors of the polynomial

b) Find, correct to three decimal places, the values of t satisfying

2e^3t - 3e^2t - 11e^t + 6 = 0

a) if is a factor, then ... show this by synthetic division

Code:

1/2] 2 -3 -11 6
1 -1 -6
------------------------------
2 -2 -12 0

the depressed polynomial is

the other two roots are and

b) note the similarity between this equation and the one in part (a)

two of the three above equations will yield a real solution.