What does the rational zero theorem tell us about our functions

Suppose a a is root of the polynomial p\left ( x \right) p (x) that means p\left ( a \right) = 0 p (a) = 0.The rational zeros theorem roots of a polynomial a root or zero of a function is a number that, when plugged in for the variable, makes the function equal to zero.The function is not constant.Now it's always refreshing when you finally get down to the quadratic because it's easy to find.Thus, it is not necessary for you to verify it!

In the rational zero theorem, p represents factors of the constant term.The rational zeros theorem the rational zeros theorem states:We want it to be equal to zero:So 3 is a 0 of this polynomial and that means x minus 3 is a factor and what's left is x² plus 2x plus 2.A rational zero is a rational number that is a root to a polynomial that can be written as a fraction of two integers.

We can use this theorem to help us find all of the possible rational zeros or roots of a polynomial function., a n are integers.Application of the rational zero test tells us that any rational zero ofpis a divisor of 13.Use the rational root theorem to list all possible rational zeroes of the polynomial p (x) p ( x).Evaluate the polynomial at the numbers from the first step until we find a zero.

The fundamental theorem of algebra if p (x) is a polynomial of degree n ≥ 1, then p (x) = 0 has exactly n roots, including multiplicities and complex roots.