prisyortega250 prisyortega250
  • 21-05-2021
  • Mathematics
contestada

In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 26-05-2021

Answer:

[tex]f(x) = x^3 +5x^2-4x-20[/tex]

Step-by-step explanation:

Given

[tex]Zeros: -5,-2,2[/tex]

Required

The polynomial function

If a function has a, b and c as its zeros, the function is:

[tex]f(x) = (x - a)(x - b)(x - c)[/tex]

So, we have:

[tex]Zeros: -5,-2,2[/tex]

[tex]f(x) = (x - (-5))(x - (-2))(x - 2)[/tex]

Open the inner brackets

[tex]f(x) = (x +5)(x +2)(x - 2)[/tex]

Expand the difference of two squares

[tex]f(x) = (x +5)(x^2 - 4)[/tex]

Expand

[tex]f(x) = x^3 +5x^2-4x-20[/tex]

Answer Link

Otras preguntas

Explain why a normal time of death curve should be used with caution.
Pls answer I will name brainliest
Naomi is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Naomi will earn $20 every time one of her songs i
Can you please help me with this problem, its really hard.. [tex]3x+1[/tex]
Rita with her mother went to the market......?tag question​
Who was Anne Frank and why is she the main person when you are learning about World War ||?
2. Why is it a problem and how does the author build upon how it is introduced?
What is an extensive property that can be calculated? A Boiling point B Volume C Viscosity D Specific Heat
Phân tích thực trạng lạm phát ở việt nam giai đoạn 2011-2020
What is the solution to this equation? x- 13 = -4 O A. x= 9 O B. x = 17 O c. x= -17 O D. x= -9