Evaluate the polynomial for x = -2.
Simplify your answer
3x² - 2x +2
3(4) - 2(-2) + 2 = 12 + 4 +2 = ?
To evaluate the polynomial 3x² - 2x + 2 for x = -2, we need to substitute -2 into the polynomial and simplify.
Step 1: Substitute x = -2 into the polynomial.
Replace every x in the polynomial with -2:
3(-2)² - 2(-2) + 2
Step 2: Simplify the expression.
-2 squared is 4, and -2 multiplied by -2 is 4:
3(4) - 2(4) + 2
Now, perform the multiplications:
12 - 8 + 2
Next, add and subtract from left to right:
12 - 8 = 4
4 + 2 = 6
Therefore, the value of the polynomial 3x² - 2x + 2 when x = -2 is 6.