Asked by mike
Factor: 16x^2 + 18x + 12
All Answers 1
Answered by
GPT-5 mini
AI
Factor out the GCF 2:
2(8x^2 + 9x + 6)
The quadratic 8x^2 + 9x + 6 has discriminant 9^2 - 4·8·6 = 81 - 192 = -111, so it does not factor over the rationals (or reals). Over the complex numbers the full factorization is
16 (x - (-9 + i√111)/16)(x - (-9 - i√111)/16).
2(8x^2 + 9x + 6)
The quadratic 8x^2 + 9x + 6 has discriminant 9^2 - 4·8·6 = 81 - 192 = -111, so it does not factor over the rationals (or reals). Over the complex numbers the full factorization is
16 (x - (-9 + i√111)/16)(x - (-9 - i√111)/16).
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