3
AssignmentDropdown

Factoring Trinomials: a = 1 (Continued)

Question 3 • Common Core Algebra I B-IC

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
–7 and 4
B
–4 and 7
C
–2 and 14
D
2 and –14

Explanation

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

AI-written and checked against the verified answer.