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Question

If the zeros of a quadratic polynomial ax2 + bx + c are both negative, then a, b, c will have the same sign.

(a) True
(b) False

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Solution

(a) True Let α and β be the negative zeroes of ax2+bx+c.Then α+β=ba<0 and αβ=ca=>ba>0 and ca>0=>a,b,c have the same sign.The given statement is true.

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