find a quadritic polynomial with zeroes 3+ root 2 and 3-root 2
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find a quadritic polynomial with zeroes 3+ root 2 and 3-root 2
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Verified answer
Sum of roots = 3 + √2 + 3 - √2 = 6product of roots = (3+√2)(3-√2) = 9-2 = 7
so quadratic eqn = x² - x(sum of roots) + product of roots
⇒ x² - 6x +7 = 0
Verified answer
Hello there !!Zeroes = 3 + √2 , 3 - √2
Sum of zeroes = 3 + √2 + 3 - √2 = 6
product of zeroes = (3+√2) x (3-√2) =3² - [√2]²
= 9 - 2 = 7
quadratic eqquation = x² - (sum of roots)x + product of roots
---) x² - 6x +7 = 0
Hope this Helped You !!