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PLEASE HELP! write a polynomial that is best represented by the graph

A)y=x^3-12x^2+29x+42

B)y=x^3+12x^2+29x-42

C)y=x^3-14x^2+55x-42

D)y=x^3+14x^2+55x+42

PLEASE HELP write a polynomial that is best represented by the graph Ayx312x229x42 Byx312x229x42 Cyx314x255x42 Dyx314x255x42 class=

Respuesta :

MrRoyal

Polynomials are represented by graphs and equations

The equation of the polynomial is y = x^3 + 12x^2 + 29x - 42

How to determine the polynomial equation

From the graph, the zeros of the polynomial are:

x = {-7, -6, 1}

So, the equation of the polynomial is:

[tex]y = (x + 7) * (x + 6) * (x - 1)[/tex]

Expand

[tex]y = (x^2 + 13x + 42) * (x - 1)[/tex]

Further, expand

[tex]y = x^3 + 13x^2 - x^2 + 42x - 13x - 42[/tex]

This gives

[tex]y = x^3 + 12x^2 + 29x - 42[/tex]

Hence, the equation of the polynomial is y = x^3 + 12x^2 + 29x - 42

Read more about polynomials at:

https://brainly.com/question/4142886

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