Question

Derive a quadratic ploynomial for which the sum of zeros =1/3 and product of zeros=1/2​

Answer 1

Answer:

$6x {}^{2} - 3x + 2$

Step-by-step explanation:

$sum \: of \: zeroes = \frac{1}{3}$

$product \: of \: zeroes = \frac{1}{2}$

$so \: by \: the \: formula \: of \: quadratic \\ polynomial$

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

$x {}^{2} - \frac{1}{2} x + \frac{1}{3}$

$take \: lcm$

$6x {}^{2} - 3x + 2$