evaluate polynominal x=2
-3x^3+7x^2-3x-2
plug 2 in as x and solve
-3x^3 + 7x^2 - 3x -2
-3(2)^3 + 7(2)^2 - 3(2) - 2
-3(8) + 7(4) - 6 - 2 = ?
To evaluate the polynomial -3x^3 + 7x^2 - 3x - 2 at x = 2, we need to substitute the value of x into the polynomial and perform the calculations. Here's how you can do it step-by-step:
Step 1: Replace every instance of x in the polynomial with the given value, which is 2:
-3(2)^3 + 7(2)^2 - 3(2) - 2
Step 2: Simplify the expressions that involve the value of x:
-3(8) + 7(4) - 6 - 2
Step 3: Perform the multiplications:
-24 + 28 - 6 - 2
Step 4: Add and subtract the numbers:
-24 + 28 - 8
Step 5: Calculate the final result:
-24 + 28 = 4
4 - 8 = -4
Therefore, when x is equal to 2, the value of the polynomial -3x^3 + 7x^2 - 3x - 2 is -4.