210k views
2 votes
Is it wise to use the rational theorem at the beginning when finding all real roots of polynomial function.

Is it wise to use the rational theorem at the beginning when finding all real roots-example-1
User Rudra
by
3.6k points

1 Answer

4 votes

Step-by-step explanation:

Definition or rational roots theorem:

Rational root theorem is used to find the set of all possible rational zeros of a polynomial function (or) It is used to find the rational roots (solutions) of a polynomial equation

We can actually use the Zeros Theorem and the Conjugate Zeros Theorem together to conclude that an odd-degree polynomial with real coefficients must have atleast one real root (since the non-real roots must come in conjugate algebra Use the rational zeros theorem to find all the real zeros of the polynomial function.

Rational Zero Theorem. If a polynomial function, written in descending order of the exponents, has integer coefficients, then any rational zero must be of the form ± p / q, where p is a factor of the constant term and q is a factor of the leading coefficient.

Hence,

The final answer is TRUE

User Martin Ender
by
3.6k points