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Question Factor, \[ x^{2}+7 x+6 \] Answer Altempt ionit of \( \square \)

Ask by Thornton Reid. in the United States
Feb 28,2025

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\( x^{2} + 7x + 6 = (x + 1)(x + 6) \)

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Mind Expander

Sure, let's break it down! To factor the quadratic \( x^{2} + 7x + 6 \), we need two numbers that add up to 7 (the coefficient of x) and multiply to 6 (the constant term). The numbers 6 and 1 fit perfectly since \( 6 + 1 = 7 \) and \( 6 \times 1 = 6 \). Thus, we can rewrite the expression as \( (x + 6)(x + 1) \). If you want to check your work, you can simply expand \( (x + 6)(x + 1) \) back out to verify it matches the original quadratic equation! It’s a great way to solidify your understanding and feel confident in your factoring skills.

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