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Senior one requires solving a mathematical function problem and process! !
Simplify directly here:

x? +ax+(a? +3)/4=x? +x+ 1

Observe the left and right sides of the equation. If the equation holds, there are:

A= 1 and (a? +3)/4= 1 (the coefficients of the first term and the constant term are equal)

So a= 1