Respuesta :

Answer:

Step-by-step explanation:

If (x-a) is a factor of a polynomial then the polynomial must equal zero .

Here's what I mean :

x - 2 = 0  

x = 2

(2)³-2(2)²+2(2) + 3 = 0 ❌

8 - 8 +4 +3 = 0 ❌

7 = 0 ❌

Hope this helped and have a good day

(x-2) is not a factor of f(x)

What is Factor?

Factor, in mathematics, is a numeral or algebraic expression that divides another numeral or expression evenly—i.e., with no remainder.

No (x-2) is not a factor of f(x).

To check that x−2 is the factor of x3 − 2x2 + 2x + 3

The value of x−2=0 ⟹ x=2

So, put x=2 in expression, we get,

(2)³-2(2)²+2(2) + 3 = 0

8 - 8 +4 +3 = 0

7=0

which is not possible ,hence (x-2) is not a factor of f(x).

To learn more about Factor refers to:

https://brainly.com/question/11930302

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