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Question

# If the zeroes of a quadratic polynomial ax2+bx+c are both negative, then which of the following is always correct

A
ba>0
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B
ca=0
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C
a,b and c all are zero
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D
a,b and c all have same sign
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Solution

## The correct option is D a,b and c all have same signGiven the zeroes of the quadratic polynomial ax2+bx+c are both negative.Then the sum of the zeroes be also negative, then−ba<0or, ba>0.......(1).And the product of the zeroes is positive then,ca>0.......(2).F(0)=c>0 ⇒ a>0⇒ b>0From (1) and (2) it follows that a,b,c all have the same sign.

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