- repeat - TutorCat, Monday, December 13, 2010 at 12:15am
pre-cal **need help for test in the morning - MathMate, Monday, December 13, 2010 at 12:23am
Also if the leading coefficient (12) is positive, the function evaluates to -∞ at x=-∞ and to ∞ at x=∞. Thus it crosses the x axis at at least one place, or there is at least one real root.
In fact, application of Descarte's rule indicate that there are two changes of sign, so there are at least two positive roots. This also means that all three roots are real, since complex roots must come in pairs (conjugates).
to zero, and solve for the maximum and minimum, if any.
f'(x)=0 at x=-0.07 and x=6.01
so there is a root close to 1 and probably another around -1.
By numerical methods, such as Newton's method, it should be possible to evaluate the zeroes as:
x=-0.531, x=0.417, and x=9.031
(x1+x2+x3)=8.917 = 107/12
pre-cal **need help for test in the morning - Terri, Monday, December 13, 2010 at 12:25am