11Well i think ans should be a)....
A : If P(x) is a polynomial of even degree with positive
leading coefficient and P(x)-P''(x)≥0 for all xεR then P(x)≥0for all xεR
R :lim P(x)= lim P(x)=+∞
x→∞ x→-∞
and min {P(x)} is finite number and at local minima P''(x)≥0.
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3 Answers
62The reasoning seems to be true...
because at the point of local minima, P''(x)>=0
so the minimum value of P(x) will be at that point where we have P(x)-P''(x)>=0
so P(x)>=P''(x)
which is in turn greater than equal to zero...
hence P(x)>=0 at the point of minima.. and hence at all points
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