Q2 of 227 Page 82

Find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively.

Formula for quadratic equation is,

x² – (sum of roots) x + Product of roots = 0

Given, sum of roots = and product of roots =

∴ Quadratic equation is,

⇒ x² – x + = 0

Hence, Quadratic equation is x² – x + = 0.

Find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively.

2, 4

Find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively.

0, 4

Find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively.