Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( x^{2}+6x+5=(x+1)(x+5) \)
Solución
1. To factor the trinomial \( x^{2}+6x+5 \), we look for two numbers \( a \) and \( b \) such that:
- \( a + b = 6 \)
- \( a \times b = 5 \)
2. The numbers \( 1 \) and \( 5 \) satisfy these conditions because:
- \( 1 + 5 = 6 \)
- \( 1 \times 5 = 5 \)
3. Thus, we can write:
\[
x^{2}+6x+5 = (x+1)(x+5)
\]
The correct answer is A: \( x^{2}+6x+5=(x+1)(x+5) \).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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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!

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