x 2 + 6 x − 7 = x 2 − x + 7 x − 7 = x ( x − 1 ) + 7 ( x − 1 ) = ( x + 7 ) ( x − 1 )
The expression x 2 + 6 x − 7 can be factored into ( x + 7 ) ( x − 1 ) by finding two numbers that multiply to − 7 and add to 6 . We restructured the expression, grouped terms, and factored it systematically. This gives us the final factored form.
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