Questions: Factor the trinomial. [ 7 n^2+53 n-24 ] [ 7 n^2+53 n-24= ] (Type your answer in factored form.)

Factor the trinomial.
[ 7 n^2+53 n-24 ]
[ 7 n^2+53 n-24= ]
(Type your answer in factored form.)
Transcript text: Factor the trinomial. \[ 7 n^{2}+53 n-24 \] \[ 7 n^{2}+53 n-24= \] $\square$ (Type your answer in factored form.)
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Solution

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Solution Steps

Step 1: Factor the Trinomial

To factor the trinomial \( 7n^{2} + 53n - 24 \), we look for two binomials that multiply to give the original expression. The factorization process reveals that:

\[ 7n^{2} + 53n - 24 = (n + 8)(7n - 3) \]

Final Answer

The factored form of the trinomial is

\[ \boxed{(n + 8)(7n - 3)} \]

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