Delta = 25 - 16 = 9 => De lt a = 3 ; x 1 = ( − 5 + 3 ) /4 = − 1/2 an d x 2 = ( − 5 − 3 ) /4 = − 2 ; ;
=> 2 x 2 + 5 x + 2 = 2 ( x + 1/2 ) ( x + 2 ) . = (2x+1)(x+2).
(x + 2)(2x + 1) ;
To factor a quadratic expression, identify the coefficients and find two numbers that multiply to a c and add to b . Rewrite the middle term with these numbers, group the terms, and factor out a common binomial. The example of 2 x 2 + 5 x + 2 factors into ( 2 x + 1 ) ( x + 2 ) .
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