so the answer is there but I need to know how to solve this so please show each step

Good morning ☕️

Step-by-step explanation:

f(x) = 4x³ + Ax² + 8x - 9

Since f(2) = 1 then 4(2)³ + A(2)² + 8(2) - 9 = 1

                     then 39 + 4A = 1

                     then 4A = 1 - 39

                     then 4A = -38

                     then   A = -38/4

                     then. A = -19/2

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:)