How does the degree of the depressed polynomial relate to the original polynomial? Example Find all zeros of f(x) = x^3 + 2x^2 - 5x - 6, given that x = -3 is a zero

The Rational Zero Theorem narrows down the number of possible rational zeros using the ratio of the factors of the constant term and factors of the leading ... In general, if a function f ‍ has a zero of odd multiplicity, the graph of y = f ( x ) ‍ will cross the x ‍ -axis at that x ‍ value. If a function f ‍ has a ... Find the real zeros for each polynomial function below. If the number of distinct real zeros is less than the maximum number of zeros that are possible, be ... Procedure for Finding Zeros of a Polynomial Function a) Gather general information. Determine the degree of the polynomial (gives the most zeros possible). May 2, 2024 ... 5.5 Zeros of Polynomial Functions · Evaluate a polynomial using the Remainder Theorem, · Use the Factor Theorem to solve a polynomial equation, ... About Finding the Zeros of a Polynomial Function: When we are asked to find the zeros of a polynomial function, we are trying to find the x-values for which the ... Mar 15, 2017 ... A zero of a polynomial function is a value that causes the polynomial to equal zero. This can be a real or complex number. • List potential rational zeros of a polynomial function. • Find zeros of a polynomial function and factor the polynomial. • Solve a polynomial equation. Feb 6, 2020 ... Find all the zeros of the polynomial function. Use the Rational Zero Theorem, Descartes's Rule of Signs, and possibly the graph of the polynomial function. algebra K, [G] of all polynomial functions of the general linear group G of ... follows immediately if d, as a function of r, is not a zero divisor in K[T].