x 2 + 6 x + 5 = x 2 + x + 5 x + 5 = x ( x + 1 ) + 5 ( x + 1 ) = ( x + 5 ) ( x + 1 )
x 2 + 6 x + 5 = x 2 + x + 5 x + 5 = x ( x + 1 ) + 5 ( x + 1 ) = ( x + 1 ) ( x + 5 )
The quadratic expression x 2 + 6 x + 5 can be factored into ( x + 1 ) ( x + 5 ) . This is done by finding two numbers that multiply to 5 and add to 6. Confirming through expansion shows the factorization is correct.
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