    Question

# If α and β are the zeroes of the quadratic polynomial p(x)=ax2+bx+c,(a≠0) then _________ =ca

A
α+β
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B
αβ
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C
α.β
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D
αβ
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Solution

## The correct option is C α.βGiven that p(x)=ax2+bx+c .........(1) where a≠0 is a quadratic polynomial And α,β are the zeroes of the polynomial p(x)We can also write the polynomial in this way p(x)=(x−α)(x−β)⇒p(x)=x2−(α+β)x+αβ .............(2)Equation (1) and (2) are same Comparing the coefficients a1=b−α−β=cαβOn solving we get the following results α+β=−baα.β=caHence, option C is correct.  Suggest Corrections  1      Similar questions
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