Which of the binomials below is a factor of this trinomial? -3x2 - 21x + 24

The correct factorization of this trinomial is (3x - 3)(-x - 8). You could also use (x - 1)(-3x - 24)

Step-by-step explanation:

We can find these by making the lead coefficients in the parenthesis multiply to -3x^2

(3x     )(-x      )    OR    (x      )(-3x     )

Then we need to fill the rest of the parenthesis with factors of 24. We need to use negative values since the middle term is negative. We try these until the FOILed answer gives us the original trinomial

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