Algebra Please answer

Answer 1

People use polynomials in their everyday life . People use polynomials for modeling of various buildings and objects , used in industries , used in construction . They are even used in marketing , finance , stocks . etc.

The Legendre polynomials are used for the simulation of the scattering sound field in a multilayered elastic shells. an engineer designing a roller coaster would use polynomials to model the curves, while a civil engineer would use polynomials to design roads, buildings and other structures.

an example of polynomial and rational function

function f(x)= (3x-2)(x+2)^2

y intercept:

f(0)= {3(0)-2}(0+2)^2

= (-2)(4)

= -8

y intercept of the graph of y=f(x) is(0,-8)

x intercept:

0= (3x-2)(x+2)^2

3x-2=0 , x=2/3

(x+2)^2=0 , x=-2

x intercepts of the graph of y=f(x) are (2/3,0) (-2,0).

Now find the end behavior

f(x)= (3x-2)(x+2)^2

f(x)= (3x-2)(x2+4x+4)

f(x) = 3x^3+12x^2+12x-2x^2-8x-8

f(x) =3x^3+10x^2+4x-8

The end behavior of function f will be the same as the end behavior of 3x^3.

Answer 2

how am I suppose to know