Step 1 :Given the factored form of the polynomial as $A(x)=(x-4)(x+1)$
Step 2 :To convert this to standard form, we need to multiply out the factors and combine like terms
Step 3 :Multiplying out the factors, we get $x^2 - 4x + x - 4$
Step 4 :Combining like terms, we get $x^2 - 3x - 4$
Step 5 :So, the standard form of the given polynomial is $\boxed{x^2 - 3x - 4}$