Is y=f(x). The values of x that make y= 0 are called roots of the equation. The fundamental theorem of algebra states that every polynomial of degree n has n roots. In the caseof real estate, it must correspond to x values that make the feature cut the x-axis:
The roots of a polynomial can be real or complex. If a polynomial has coefficients a0, a1, a2,…an-1, an, real,then all the complex roots always occur in complex conjugate pairs. For example, a cubic polynomial has the following general form:
f(x)= a0x3+ a1x2+ a2x+ a3
The fundamental theorem of algebrastates that a polynomial of degree n has n roots. In the case of cubic polynomial can be the following:
· Three distinct real roots.
· A real root with multiplicity 3.· A simple real root and one real root with multiplicity 2.
· One real root and a complex conjugate pair.
Example. The roots of these polynomials are summarized below.1. Three distinct real roots:
For their study, the functions can beclassified into algebraic and transcendental.
Let g = f (x) the function expressed
fnyn+ fn-1yn-1+…+ f1y+ f0=0
Where fi is a polynomial of order i in x. Polynomials area simple case of algebraic functions that are usually represented as
fn(x)=a0+a1x+ a2x2…+ anxn
Where n is the order of the polynomial.
f2(x) = 1-2.37 x + 7.5 x 2f6(x) = 5 x 2-x 3 + 7 x 6
Are those that are not algebraic. They include the trigonometric, exponential, logarithmic, among others.
f(x) = lnx2-1f(x) = e-0.2xsin(3x-5)
The methods described in this unit require that the function is differentiable in the range where they apply. If the methods used in non-differentiable or discontinuous functions at some...