Find the quadratic polynomial the sum of whose roots are √2 and their product is 1/2
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Step-by-step explanation:
x² - ( Sum of roots) x + ( Product of roots )
In the above question,
Sum of roots = √2
Product of roots = 1/3 .
Now, The quadratic polynomial
= x² - √2x + 1/3
= 3x² - 3√2x + 1
Required polynomial is 3x²-3√2x+1
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