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+4 votes
1.5k views
in Mathematics by (25.8k points)
closed by

A quadratic polynomial having sum and product of its zeroes as 5 and 0 respectively, is

(a) x2 - 5x

(b) 2x(x - 5)

(c) 5x2 - 1

(d) x2 - 5x + 5

3 Answers

+1 vote
by (13.4k points)
selected by
 
Best answer

Sum of zeros = α + β = 5

Product of zeros = αβ = 0

The Quadratic polynomial whose zeros are α and β is

x− (α + β)x + αβ

= x2 − 5x

Hence, the required Quadratic polynomial is x2 − 5x.

+4 votes
by (26.0k points)
edited by

Correct answer is (a) x2 - 5x

+2 votes
by (35 points)

(a) x2 - 5x

k(x2 -Sx + P )

K(x2 -5x +0)

k(x2 - 5x) ans 

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