Question

Which of the following is a polynomial function in standard form with zeros at 0, 2, and 4?

Answer 1

x(x - 2)(x - 4)
x(x² - 6x + 8)
x³ - 6x² + 8x

Answer 2

polynomial x³ -6x² +8x .

Explanation:

Given : polynomial function in standard form with zeros at 0, 2, and 4.

To find : Which of the following is a polynomial function.

Solution : we have given that

zeros at 0, 2, and 4.

x = 0 .

x = 2

x = 4

(x -0)(x -2) (x -4).

x (x-2)(x-4).

x( x² -4x -2x +8).

x (x² -6x +8).

x³ -6x² +8x .

Therefore, polynomial x³ -6x² +8x .