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List all the possible rational roots, then find all the roots of the function

List all the possible rational roots, then find all the roots of the function-example-1
User Yagmur
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Take into account that for a polynomial function, the possible roots are given by the following quotient:

roots = p/q

where p is the constant of the function (and its factors) and q is the coefficient of the term with the greates degree (variable with greatest exponent) or its factors.

Then, based on the previous explanation, you have:

p = -9

q = 5

factors -9: -1, 1, -3, 3, -9, 9

factors 5: -1, 1, -5, 5

Hence, the possible factors are:

±1, ±3, ±9, ±1/5, ±3/5, ±9/5

and the roots:

roots = {i(√15)/5 , -i(√15)/5, √3, -√3}

The roots can be also obtained by using quadratic formula for x^2, and then, by applying square root to the result to obtain x.

User Almarc
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