Question
Factor the following trinomial. \[ x^{2}+6 x+5 \] Select the correct choice below and, if nee A. \( x^{2}+6 x+5=\square \) (Type your answe B. The polynomial is primu:
Ask by Reeves Bartlett. in the United States
Mar 11,2025
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Tutor-Verified Answer
Answer
\( x^{2}+6x+5=(x+1)(x+5) \)
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Mind Expander
To factor the trinomial \( x^{2}+6x+5 \), we look for two numbers that multiply to \( 5 \) (the constant term) and add up to \( 6 \) (the coefficient of the \( x \) term). Those numbers are \( 1 \) and \( 5 \). Therefore, we can express the trinomial as \( (x + 1)(x + 5) \). Now you have \( x^{2}+6x+5 = (x + 1)(x + 5) \) and can proceed confidently with your factoring skills!