Question

Find a quadratic polynomial whose sum and product of zero are -√2 and 1 upon 3

Answer 1

Answer:

Sum=

$sum = - \sqrt{2} \\ product = \frac{1}{3}$

Using formula

${x}^{2} - (sum \: of \: zeroes )x + (product \: of \: zeroes)$

${x}^{2} -( - \sqrt{2} )x + \frac{1}{3} = 0$

L.C.M

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

Hope it heLps