Question

from a quadratic polynomial whose zeroes are1/2and 2/3​

Answer 1

Answer:

6x²-7x+2

Step-by-step explanation:

the quadratic polynomial=x²−( sum of zeroes )x+ product of zeroes

$sum \: of \:zeroes = \frac{1}{2} + \frac{2}{3} \\ = \frac{7}{6}$

$product \: of \: zeroes = \frac{1}{2} \times \frac{2}{3} = \frac{1}{3}$

the required quadratic polynomial is

${x}^{2} - \frac{7}{6}x + \frac{1}{3}$

=

$6 {x}^{2} - 7x + 2$

=6x²-7x+2