Answer:
A = - [tex]$ \frac{17}{65} $[/tex]
Step-by-step explanation:
Given: 4x - 1 = A[4x² + 1] + (Bx + c)(x + 4)
To determine the value of A, we have to eliminate the other two variables, viz, B and C.
To do this simply put x = -4.
We get:
4(-4) - 1 = A[4(-4)² + 1] + 0
⇒ -17 = A(65)
∴ A = [tex]$ \frac{17}{65} $[/tex] is the answer.
