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factor the trinomial 6x^2-7x-20
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(3x+4)(2x-5)
think of two numbers that when multiplied together it gives you 6, and think of two numbers that when multiplied together it gives you -20.
lets set numbers a *b give you 6, and c*d give you -20. then ac +bd must yield the second term -7
then you are going to write (a+d) ( b+c)
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