Question

Write a polynomial of least degree with the following zeros: 4 and √6

Answer 1

`{x}^(2) - (4 + √(6) )x + 4 √(6) = 0`

Explanation:

The roots of the equation are,

`x = 4`

or

`x = √(6)`

Hence, from the general equation of a quadratic formula

X²-(sum of roots)x + product of roots =0

sum of roots

`4 + √(6)`

product of roots

`4 √(6)`

Hence,

`{x}^(2) - (4 + √(6) )x + 4 √(6) = 0`