Question

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

Answer 1

ANSWER

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

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.

Answer 2

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