Question

If ( f(x) = 2x^3 + Ax^2 + 2x - 9 ) and ( f(2) = 1 ), what is the value of A?

A. -3
B. 1
C. 3
D. 9

Answer 1

To find the value of A, given f(x) = 2x³ + Ax² + 2x - 9 and f(2) = 1, substitute x = 2 into the function and solve for A. The value of A is
`-(1)/(2)`. The correct answer is not among the provided options.

Step-by-step explanation:

To find the value of A, given f(x) = 2x³ + Ax² + 2x - 9 and f(2) = 1, substitute x = 2 into the function and solve for A:

f(2) = 2(2)³ + A(2)² + 2(2) - 9 = 1

8 + 4A + 4 - 9 = 1

Combine like terms:

4A + 3 = 1

Subtract 3 from both sides:

4A = -2

Divide by 4:

A =
`-(1)/(2)`

Therefore, the correct answer is not among the provided options.