To factor the quadratic expression \( x^2 + 2x - 80 \), we need to find two numbers that multiply to \(-80\) (the constant term) and add to \(2\) (the coefficient of the linear term \(x\)).
The two numbers that meet these criteria are \(10\) and \(-8\) because:
- \(10 \times (-8) = -80\)
- \(10 + (-8) = 2\)
Using these two numbers, we can factor the quadratic as follows:
\[ x^2 + 2x - 80 = (x + 10)(x - 8) \]
So, the factored form of \( x^2 + 2x - 80 \) is:
\[ (x + 10)(x - 8) \]
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