Which describes the number and type of roots of the equation x^3 - 4x^2 + 50x + 7 = 0?

a. 1 positive, 2 negative
b. 2 positive, 1 negative
c. 3 negative
d. 3 positive

How do I figure this out?

1 answer

You could sketch the curve and see
or

take a look at this video from Khan Academy, one of the best sites on line your can find.
Sal explains the Fundamental Theorem of Algebra

https://www.khanacademy.org/math/algebra2/polynomial-functions/fundamental-theorem-of-algebra/v/fundamental-theorem-of-algebra-intro
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