A coefficient from a minimum

A coefficient from a minimum

4 marks
TGM Original
The quadratic f(x)=3x2+bx+8 has minimum value 5, attained when x=1. Find b, and verify the minimum by completing the square.

Solution:

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Answer:\(b=-6\); \(\mathrm{f}(x)=3(x-1)^2+5\).

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