Step 1 :Given the quadratic equation: \(5x^2 + 12x - 216\)
Step 2 :Identify the coefficients: \(a = 5, b = 12, c = -216\)
Step 3 :Find the axis of symmetry using the formula: \(x = \frac{-b}{2a}\)
Step 4 :Substitute the values of a and b: \(x = \frac{-12}{2 \times 5}\)
Step 5 :Simplify the expression: \(x = -1.2\)
Step 6 :\(\boxed{\text{Final Answer:}}\)
Step 7 :Part A: \(a = 5, b = 12, c = -216\)
Step 8 :Part B: \(\text{Axis of symmetry: } x = -1.2\)