## Rational Roots Test

Use synthetic division to try to find roots. Using the list of possible roots we found before (p/q), and use those as the divisor for synthetic division, and the polynomial 10x^3-10x^2-32 for the

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## Rational Roots Test / Theorem

Roots of a polynomial can be found by substituting the suitable values of a variable which equate the given polynomial to zero. The factorisation of polynomials also

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## Number of possible real roots of a polynomial

How to find roots of polynomials. Integer roots If the coefficients of a polynomial are integers, it is natural to look for roots which are also integers. Any such root must divide the constant

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## The Rational Zeros Theorem

Positive real roots. For the number of positive real roots, look at the polynomial, written in descending order, and count how many times the sign changes from term to term.

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## Finding Real Roots of Polynomial Equations

Conjugate roots theorem. We have that p ( x) is a polynomial with complex coefficients. If the complex number z = a + b i is a root of the polynomial p, then its conjugate z ∗ = a − b i is also a

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## How to find all of the possible rational roots of the polynomial

Example: Find the root of a polynomial g (a)=2a²+6a-8, In this example, the leading coefficient is ≠ 0, Therefore, b is factor of content term 8, which include ±1, ±2, ±4, ±8 and the