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yarga [219]
3 years ago
13

Is there a way to simplify the process of plugging in factors through synthetic division to find the zeros of a polynomial? I am

aware of Descarte's Rule of Signs, but is there any other way to make it faster than guess-and-check?
Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0
Yes you can use the discriminant of a quadratic/polynomial. For instance, if
b^2 - 4ac = 0 there is one real root. If b^2 - 4ac > 0 there are two real roots and ib^2 - 4ac < 0  there are no real roots

The discriminant comes from the quadratic equation, which is the following.
x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}
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