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Factoring Trinomials: a = 1

Question 2 • FL-1200700-Mathematics for College Algebra MIS

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?

Answer
A
(x – 7)(x + 4)
B
(x – 4)(x + 7)
C
(x – 4)(7x + 1)
D
(7x + 4)(x – 1)

Explanation

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

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