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20-07-2020
Mathematics

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Prove that the expression 2x(x–6)–3(x^2–4x+1) is negative for all values of x.

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20-07-2020

Step-by-step explanation:

The expression can be simplified to -3 - x² which is a concave downward parabola with a maximum at y=-3. Hence all values are less than or equal to -3 and thus negative.

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