3 x 2 + 20 x + 12 = 3 x 2 + 18 x + 2 x + 12 = 3 x ( x + 6 ) + 2 ( x + 6 ) = ( x + 6 ) ( 3 x + 2 )
To factor the expression 3 x 2 + 20 x + 12 , we can rewrite it as ( x + 6 ) ( 3 x + 2 ) . This involves first finding two numbers that multiply to the product of the leading coefficient and the constant term, and then rewriting the middle term. Finally, we factor by grouping to arrive at the final answer.
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