x 2 − 9 x + 8 = x 2 − x − 8 x + 8 = x ( x − 1 ) − 8 ( x − 1 ) = ( x − 8 ) ( x − 1 )
x 2 − 9 x + 8 = x 2 − x − 8 x + 8 = x ( x − 1 ) − 8 ( x − 1 ) = ( x − 1 ) ( x − 8 )
To factor the expression x 2 − 9 x + 8 , we find two numbers that multiply to 8 and add up to − 9 , which are − 1 and − 8 . The expression can be factored as ( x − 1 ) ( x − 8 ) . This can be verified by expanding the factors to yield the original expression.
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