Applications of Polynomial Functions: Finding Zeroes and Maximizing

Related BrainMass Solutions

• Linear Algebra: Factoring, Real and Complex Zeroes

  6985 Linear Algebra: Factoring, Real and Complex Zeroes 1. Factor the following polynomial y = 3x4 — 22x3 + 31x2 + 40x —16 2. Find the real solutions of y = x3 + 8x2 + 1 lx — 20 3.

• Polynomials and Rational Functions : Synthetic Division and Descarte's Rule of Signs

  31690 Polynomials and Rational Functions : Synthetic Division 1.USE DESCARTES` RULE OF SIGNS TO DETERMINE THE POSSIBLE NUMBER OF POSITIVE REAL ZEROS OF THE FUNCTION.

• 23 Polynomials Problems : Solving for Roots, Asymptotes, Word Problems, Finding Equations from Roots, Synthetic Division and Function Composition

  Find the polynomial F(x) of degree three that has zeroes at 1, 2, and 4 such that F(0)= -16. 10. The degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4 and 3=I among its roots.

• Polynomials : Zeros and Complex Roots

  121326 Polynomials : Zeros and Complex Roots Find the polynomial f(x) of degree three that has zeroes at 1, 2, and 4 such that f(0) = -16.

• Taylor series of polynomial of degree 4

  A step by step solution is included to explain the concept of finding taylor series expansion of a given polynomial of degree 4 at a given ponit. The same concept can be applied to find the taylor series expansion of other polynomials and functions.

• Determine positive/negative zeros using Descartes' rule of signs

  f(x) = 5 + 4x - 5x^3 Descartes's rule of signs indicates that the number of positive real zeroes in a polynomial function f(x) is same, or less than by an even number, as the number of changes in the sign of the coefficients, and the number of negative

• domain of functions

  (a) the denominator cannot be zero (c) There is no limitations on the polynomial functions, so x is defined for all real numbers. The solution explains how to find the domain of various functions in detail.

• problems on finding domain, asymptotes, zeroes and vertex

  (x+2)(x^2 -16) = (x+2)(x+4)(x-4) Rational zeros are -2, -4, 4 This solutions includes step by step solutions of problems on finding domain, asymptotes, zeroes and vertex of a given function.

• Exponential and Logarithmic Functions and Examples

  This solution shows the graphical representation of various types of functions and explains real-life applications.