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0 votes
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in Polynomials by (32.1k points)
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If α and β are the zeroes of 2x2 + 5x - 9, then the value of αβ is

(a) \(\frac{-5}2\) 

(b) \(\frac{5}2\)

(c) \(\frac{-9}2\)

(d) \(\frac{9}2\)

1 Answer

+1 vote
by (32.2k points)
selected by
 
Best answer

(c) \(\frac{-9}2\)

Given: 

α and β be the zeroes of 2x2 + 5x – 9. 

If α + β are the zeroes, then x2 – (α + β) x + αβ is the required polynomial. 

The polynomial will be x2 – \(\frac{5}2x\) - \(\frac{9}2\).

∴ αβ = \(\frac{-9}2\)

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