2 y 2 − y − 10 = 2 y 2 + 4 y − 5 y − 10 = 2 y ( y + 2 ) − 5 ( y + 2 ) = = ( y + 2 ) ( 2 y − 5 )
To factor the expression 2 y 2 − y − 10 , we identify coefficients and find two numbers that multiply to − 20 and add to − 1 . The expression can be factored to ( y + 2 ) ( 2 y − 5 ) . This can be verified by expanding the factors back to the original expression.
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