Flashcard 14 - Mathematics Flashcard Set for the HiSET Test

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The correct answer is:

\[x = - 8,\;3\]

Explanation:

Factor \(-24\) so the two factors add up to \(5.\) These numbers are \(8\) and \(-3.\)

The factoring of the trinomial is \(\left( {x + 8} \right)\left( {x - 3} \right).\)

We use the zero product property to finish solving the equation.

These two factors equal zero if \(x = - 8,\;3.\)

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