This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here is the completed table for Y = x^3 + 4x^2 - 5x - 5: Step 1: Calculate Y for X = -5. Y = (-5)^3 + 4(-5)^2 - 5(-5) - 5 = -125 + 4(25) + 25 - 5 = -125 + 100 + 25 - 5 = -5 Step 2: Calculate Y for X = -4. Y = (-4)^3 + 4(-4)^2 - 5(-4) - 5 = -64 + 4(16) + 20 - 5 = -64 + 64 + 20 - 5 = 15 Step 3: Calculate Y for X = -2. Y = (-2)^3 + 4(-2)^2 - 5(-2) - 5 = -8 + 4(4) + 10 - 5 = -8 + 16 + 10 - 5 = 13 Step 4: Calculate Y for X = -1. Y = (-1)^3 + 4(-1)^2 - 5(-1) - 5 = -1 + 4(1) + 5 - 5 = -1 + 4 + 5 - 5 = 3 Step 5: Calculate Y for X = 1. Y = (1)^3 + 4(1)^2 - 5(1) - 5 = 1 + 4(1) - 5 - 5 = 1 + 4 - 5 - 5 = -5 Step 6: Calculate Y for X = 2. Y = (2)^3 + 4(2)^2 - 5(2) - 5 = 8 + 4(4) - 10 - 5 = 8 + 16 - 10 - 5 = 9 The completed table is: |c|c|c|c|c|c|c|c|c| X & -5 & -4 & -3 & -2 & -1 & 0 & 1 & 2 \\ Y=x^3+4x^2-5x-5 & -5 & 15 & 19 & 13 & 3 & -5 & -5 & 9 \\ Last free one today — make it count tomorrow, or type /upgrade for unlimited.