Form Polynomial Whose Zeroes Are 5 6

Form the polynomial whose zeroes are 5,6

Answers:

The roots are 5 and 6 ∴ Sum of the zeroes = 5+6 = 11

∴ Product of the zeroes = 5 × 6 = 30 . 

The required polynomials is x²  – (sum of the roots) x + Product of the zeroes 

⇒ x² – 11x + 30 is the required polynomial .