If (2x2 + ax + 3) - (x2 - 4x + 1) has exactly two unlike terms, find a.
-4
Simplify the expression: \((2x^2+ax+3)-(x^2-4x+1) = x^2 + (a+4)x + 2\).
This simplified expression naturally has three terms: an \(x^2\) term, an \(x\) term, and a constant term.
For it to have exactly two unlike terms, the \(x\) term must vanish, meaning its coefficient must be zero: \(a + 4 = 0\).
So \(a = -4\).
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