Hi, 

(x-4)(x-2)(x-4) = 0

(x^2 - 6x + 8)(x-4) = 0

x^3 -6x^3 + 8x - 4x^3 + 24x -32 = 0

f(x) = x^3 - 10x^2 + 32x - 32

 

Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
 What is a cubic polynomial function in standard form with zeros 4, 2, and 4?

=====================

Zeros at 4, 4 and 2 means the function can be factored as:

(x-2)(x-4)^2 = 0

Multiply and collect terms

(x-2)(x^2 - 8x + 16) -> x^3 - 8x^2 + 16x - 2x^2 + 16x - 32 -> x^3 - 10x^2 + 32x - 32

So the function in standard form is

x^3 - 10x^2 + 32x - 32

The graph is below:



 

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
 





If it has zeros of 4, 4, and 2, then it has factors of (x - 4)(x - 4)(x - 2)





so











Multiply it out and collect like terms





John



My calculator said it, I believe it, that settles it



 

RELATED QUESTIONS

what is a cubic polynomial function in standard form with zeros 4, 4, and 4?  (answered by josgarithmetic)

What is a cubic polynomial function in standard form with zeros – 4, – 5, and 4?
 (answered by Fombitz)

What is a polynomial function in standard form with zeros 1, -1, 2, and... (answered by Alan3354)

What is a cubic polynomial function in standard form with zeros -2, 2,... (answered by ewatrrr,MathLover1)

What is a cubic polynomial function in standard form with zeros 6, 3, and... (answered by tommyt3rd)

what is the polynomial function in standard form with zeros -1, 3 and 4?
 (answered by fractalier,vleith)

What is a cubic polynomial function in standard form with zeros 1, –2, and 2?
Which one... (answered by jim_thompson5910)

Write a polynomial function in standard form with zeros at 5, -4, and 1.

 (answered by scott8148)

write a polynomial function in standard form with zeros at 5, -4, and... (answered by jim_thompson5910)