Question

get a quadratic polynomial whose Zeroes
$7 + \sqrt{5 } \: and \: 7 - \sqrt{5}$
​

Answer 1

Answer:

Sum of zeroes -

$(7 + \sqrt{5} ) + (7 - \sqrt{5} )$

$14$

Product of zeroes -

$(7 + \sqrt{5} )(7 - \sqrt{5} )$

$49 - 5 = 44$

Therefore the Polynomial is - - -

$x {}^{2} - 14x + 44$

Answer 2

ANSWER :

=> x = 7+√5

x = 7-√5

x-7-√5 and x -7+√5

(x-7-√5)(x-7+√5)

(x-7)²-5

x²+49-14x-5

x²-14x+44

ANS - x²-14x+44

HOPE IT'S HELPFUL TO YOU.

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