Factor the trinomial 7x2 – 3x – 4. | Which pair of numbers has a product of ac and a sum of b? | What is the factored form of the trinomial?

Here, a = 7, b = −3, and c = −4, so ac = 7(−4) = −28. The numbers −7 and 4 have product −28 and sum −3, so the correct pair is “−7 and 4.” Splitting the middle term gives 7x² − 7x + 4x − 4, which factors as (7x + 4)(x − 1).

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