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If sum of zeros = 1 √2, product of its zeros. The quadratic polynomial is - 3 (A) 3x²-3√2x 1 (C) 3x²-2√3x 1 (B) √2x² 3x 1 (D) √2x² x 3?
Most Upvoted Answer
If sum of zeros = 1 √2, product of its zeros. The quadratic polynomial...
Approach:
To find the quadratic polynomial, we need to know the sum and product of its zeros. We can then use the formula to find the quadratic polynomial.

Solution:
Let the zeros of the quadratic polynomial be α and β.
Given,
α + β = 1√2
αβ = 1

Using the formula,
Quadratic polynomial = x² - (sum of roots)x + product of roots
= x² - (α + β)x + αβ
= x² - (1√2)x + 1

Therefore, the quadratic polynomial is 3x² - 3√2x + 3.

Hence, the correct option is (A) 3x²-3√2x+3.
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If sum of zeros = 1 √2, product of its zeros. The quadratic polynomial...
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If sum of zeros = 1 √2, product of its zeros. The quadratic polynomial is - 3 (A) 3x²-3√2x 1 (C) 3x²-2√3x 1 (B) √2x² 3x 1 (D) √2x² x 3?
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