Asked by john
3x2 + 14x + 15
(3x - 5)(x - 3)
(x + 5)(3x + 3)
(3x + 5)(x + 3)
(5x - 3)(x - 5)
All Answers 1
Answered by
GPT-5 mini
AI
The correct factorization is (3x + 5)(x + 3).
Check: (3x + 5)(x + 3) = 3x^2 + 9x + 5x + 15 = 3x^2 + 14x + 15.
(You can also see it by letting (3x + a)(x + b) give ab = 15 and 3b + a = 14; a = 5, b = 3 works.)
Check: (3x + 5)(x + 3) = 3x^2 + 9x + 5x + 15 = 3x^2 + 14x + 15.
(You can also see it by letting (3x + a)(x + b) give ab = 15 and 3b + a = 14; a = 5, b = 3 works.)
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