Question

a quadratic polynomial whose sum and product of zeroes are 0 and5 is a) x+x-5 b) -5,2 c) -5,-2 d) none of these
$zeroes \: are \: 0and \: 5is$
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Answer 1

Answer:

a, b be zeroes of the polynomial.

a + b = 0

ab = 5

quadratic polynomial is

= k[x^2 - (a + b)x + ab]

= k[x^2 - 0x + 5]

= k[x^2 + 5]

if k = 1 then the polynomial is x^2 + 5