Problem

Factor \(x^{2}+5x-14\) by finding two integers whose product is \(-14\) and whose sum is \(5\). Set each factor equal to zero and report both zeros.

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target product=-14; target sum=5; integer pair=correct; factored=(x+7)(x−2); zeros=x=-7 only; check=one factor set to zero

target product=-14; target sum=5; integer pair=7,-2; factored=(x+7)(x−2); zeros=x=-7,2; check=sum roots-5 gives coefficient5 and product roots-14

target product=-14; target sum=5; integer pair=-7,2; factored=(x−7)(x+2); zeros=7,-2; check=product target matches but middle-term sum has opposite sign

target product=-14; target sum=5; integer pair=correct; factored=(x+7)(x−2); zeros=7,-2; check=factor constants copied without solving

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Factor \(x^{2}+5x-14\) by finding two integers whose product is \(-14\) and whose sum is \(5\). Set each factor equal to zero and report both zeros.

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