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According to the rational root theorem, the following are potential roots of f(x) = 60x^2 - 57x - 18...
4 months ago
Q:
According to the rational root theorem, the following are potential roots of f(x) = 60x^2 - 57x - 18. Which is an actual root A) -6/5B) -1/4C) 3D) 6
Accepted Solution
A:
I would immediately use synthetic division to check the four possible answers.
Is -1/4 an actual root? Let's find out:
_____________________
-1/4 / 60 -57 - 18
-15 18
----------------------------
60 -72 0
Since there is no remainder, -1/4 IS a factor of the given polynomial, and the other factor can be found from the coefficients 60 - 72:
72
60x - 72 = 0 => x = ---- = 6/5
60