Question

Write a polynomial function in standard form with zeros at 0,1 and 2.

PLEASE HELP!!!

A. F(x)=x(x+1)(x+2)
B. F(x)=x(x-1)(x-2)
C. F(x)=x^3+3x^2+2x
D. F(x)=X^3-3x^2+2x

Answer 1

The answer is B, if you substitute x with 0 1 or 2 the result will always be 0

Answer 2

`f(x) ={x}^(3) - 3 {x}^(2) + 2x`

Step-by-step explanation

If the polynomial function has zeros at 0,1 and 2

Then the polynomial can be written in factored form as:

F(x)=x(x-1)(x-2)

We expand to get,

`f(x) =x({x}^(2) - 3x + 2)`

Expand further to obtain:

`f(x) ={x}^(3) - 3 {x}^(2) + 2x`

The polynomial in descending powers of x is said to be in standard form .

The last choice is correct.