Question

How many distinct real zeros does the polynomial p(x) = x4 – 4x3 + 4x2 have?

Answer 1

The are two distinct real zeros. Their are x = 0 and x = 2

Step-by-step explanation

`{x}^(4) - 4 {x}^( 3) + 4 {x}^(2)`

`{x}^(2) ( {x}^(2) - 4x + 4)`

`{x}^(2) ( {x - 2})^(2) = 0`

x=0 or. x=2