rhb1251 rhb1251
  • 01-03-2019
  • Mathematics
contestada

What is a cubic polynomial function in standard form with zeros 1 -2 and 2?

Respuesta :

jimrgrant1 jimrgrant1
  • 01-03-2019

Answer:

f(x) = x³ - x² - 4x + 4

Step-by-step explanation:

Given the zeros of a polynomial say x = a, x = b, x = c then

(x - a), (x - b), (x - c) are the factors of the polynomial and

f(x) is the product of the factors

here x = 1, x = - 2, x = 2, hence

(x - 1),(x + 2), (x - 2) are the factors and

f(x) = a(x - 1)(x + 2)(x - 2) ← a is a multiplier

let a = 1 and expand the factors

f(x) = (x - 1)(x² - 4)

     = x³ - 4x - x² + 4

     = x³ - x² - 4x + 4 ← in standard form

Answer Link

Otras preguntas

What is the radius of a cylindrical soda can with volume 512?
The results of many similar experiments must be consistent for a hypothesis to become a _____.
How does the cell membrane demonstrate selective permeability?
Why does a cell need to constantly break down and synthesize atp?
which list shows the rational numbers in descending order
How many ounces are 1 3/4 pounds of cheese
PLs help One QUESTION!!!!!!!!!!!!!!!!!PLS MAKE SURE THE ANSWER IS CORRECT!!!!!!!!!!!!!!
Should you be able to see your proein on membrane western blot
What factors led to the creation and development of distinct Spanish French English and Dutch colonial regions in North America
Three times the perimeter of a triangle is the same as 75 decreased by twice the perimeter. What is the perimeter of the triangle