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

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asked Jun 28, 2021 67.8k views

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Brian Hogan · Answer 1 · 2021-07-02T21:00:23+0000

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.

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

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