Question

factor trinomials (a=1)
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question
factor.
$x^2 + x - 42$
answer attempt 1 out of 10
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Explanation:

Step1: Find two numbers

We need two numbers that multiply to -42 and add up to 1. Let's list the factor pairs of -42:

• 6 and -7: \(6\times(-7) = -42\), and \(6 + (-7)= -1\) (not good)
• 7 and -6: \(7\times(-6) = -42\), and \(7+(-6) = 1\) (good)

Step2: Factor the trinomial

Using the two numbers 7 and -6, we can factor \(x^{2}+x - 42\) as \((x + 7)(x - 6)\)

Answer:

\((x + 7)(x - 6)\)