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0 votes
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in Polynomials by (32.1k points)
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A quadratic polynomial whose zeroes are 5 and -3, is 

(a) x2 + 2x - 15 

(b) x2 - 2x + 15 

(c) x2 – 2x – 15 

(d) none of these

1 Answer

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

(c) x2 – 2x – 15 

Here, 

the zeroes are 5 and –3. 

Let α = 5 and β = –3 

So, 

sum of the zeroes, α + β = 5 + (–3) = 2 

Also, product of the zeroes, αβ = 5 × (–3) = –15 

The polynomial will be x2 – (α + β) x + αβ

∴ The required polynomial is x2 – 2x – 15.

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