find the polynomail whose zeroes are √2 and -√2
Please answer with explanation.
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find the polynomail whose zeroes are √2 and -√2
Please answer with explanation.
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Your polynomial is:-
(x^2-2).
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[tex]\alpha=\sqrt{2}\\ \beta=-\sqrt{2}[/tex]
Sum of zeroes = √2 - √2 = 0
Product of zeroes = √2 × -√2 = -2
Quadratic equation = x² - (Sum of zeroes) x + (Product of zeroes)
[tex]=x^2-(0)x+(-2)\\=x^2-2[/tex]
Hence the polynomial is :
⇒ x² - 2