Question

sum of zeroes is root 2 and product of zeroes is 1by3 find quadratic polynomial

Answer 1

HEYA!!
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Given that ,

Sum of zeroes : √2

Product of zeroes : 1/3

Using the formula,


$x {}^{2} - sx + p$
$x {}^{2} - \sqrt{2} x + \frac{1}{3}.......................(req. \: \: answer) \\ \\ = > > \frac{3x {}^{2} - 3 \sqrt{2} x + 1 }{3} = 0$
Hence simplified answer is

$= > > 3x {}^{2} - 3 \sqrt{2} x + 1 = 0$
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Answer 2

Answer:

Sum=√2.

Product=1/3

The polynomial is

X²- (sum)x + product

X²- √2x +1/3

L.C.M = 3

3x²- 3√2x + 1/3

Or

1/3 (3x²- 3√2x + 1)

✩HOPE I HELPED YOU✩

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