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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