Rational zero theorem  Polynomial Functions
Rational zero theorem
What is rational zeros theorem? It is sometimes also called rational zero test or rational root test. We can use it to find zeros of the polynomial function. It is used to find out if a polynomial has rational zeros/roots. It also gives a complete list of possible rational roots of the polynomial. It also comes in handy when we need to factor a polynomial alongside with the use of polynomial long division or synthetic division.
Basic concepts:
 Solving quadratic equations by completing the square
 Solving quadratic equations using the quadratic formula
 Nature of roots of quadratic equations: The discriminant
 Factoring trinomials: $ax^2 + bx + c$
Related concepts:
 Integration of rational functions by partial fractions
Lessons
Notes:
Rational Zero Theorem:

1.
Consider the polynomial $P\left( x \right) = 9{x^3} + 6{x^2}  29x  10$