Question

find a quadratic polynomial with Sum of the zeroes as ✓2 and product of the zeroes as 1/3
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Answer 1

AnsWer :

3x² - 3√2x + 1.

GiveN :

• Sum of the zeroes as √2 and product of the zeroes as 1/3.

To FinD :

The Quadratic polynomial.

SolutioN :

• Sum of Zeros is √2.
• Product of Zero is 1/ 3.

K[ x² - Sx + P ]

☛ Where as,

• K Constant.
• S Sum of Zero.
• P Product of Zero.

$\rule{200}2$

→ K[ x² - √2x + 1 / 3 ]

→ K [3x² - 3√2x + 1 ]

→ 3x² - 3√2x + 1.

✡ Therefore, the Quadratic polynomial is 3x² - 3√2x + 1.

Answer 2

Answer:

Sum of zeroes:- √2

Product of zeroes:-1/√3

Polynomial:- x^2-(sum of zeroes)x+product of zeroes

x^2-√2x+1/√3

3x^2-3√2x+1 is the required polynomial.