Mary B.

asked • 10/12/17

f(x) = ax^3 + (b - ad)x^2 + (c - bd)x - cd, where a = 26, b = -8, c = 21 and d = 8. What value of x satisfies the equation f(x) = 0?

I'm so bad at these topics ): I need help with this and some explanation, thanks! 

2 Answers By Expert Tutors

By:

Michael J. answered • 10/12/17

Tutor
5 (5)

Effective High School STEM Tutor & CUNY Math Peer Leader

Andrew M.

I performed the same operation to this polynomial...
Then was looking at the list of possible rational roots and decided
not to post what I had because the list is ridiculous...
 
Possible rational roots are ±{factors of 168}/{factors of 26}
±{1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168}/{1, 2, 13, 26}
 
That's one heck of a list once you put all the possibilities together ....
Report

10/13/17

Andrew M.

I actually came up with a list of 74 possible rational roots...
That's a lot of synthetic division ....
Report

10/13/17

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