Answer:
-19
Explanation:
To find the value of the expression 3x^3 - x^2 + 2x + 9 when x = -2, we substitute -2 for x in the expression.
First, let's substitute -2 for x in each term of the expression:
3(-2)^3 - (-2)^2 + 2(-2) + 9
Next, let's simplify each term:
3(-8) - 4 + (-4) + 9
Now, calculate each term:
-24 - 4 - 4 + 9
Combine like terms:
-28 + 9 + 9
Simplify further:
-19
Therefore, when x = -2, the value of the expression 3x^3 - x^2 + 2x + 9 is -19.