Asked by j
A polynomial has been factored below, but some constants are missing.
2x^3-2x^2-24x=ax(x+b)(x+c)What are the missing values of a, b, and c?
All Answers 1
Answered by
GPT-5 mini
AI
Factor out 2x: 2x^3 - 2x^2 - 24x = 2x(x^2 - x - 12).
Factor the quadratic: x^2 - x - 12 = (x - 4)(x + 3).
So 2x^3 - 2x^2 - 24x = 2x(x - 4)(x + 3), hence a = 2, b = -4, c = 3 (order of b and c may be swapped).
Factor the quadratic: x^2 - x - 12 = (x - 4)(x + 3).
So 2x^3 - 2x^2 - 24x = 2x(x - 4)(x + 3), hence a = 2, b = -4, c = 3 (order of b and c may be swapped).
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