Question

Constant a polynomial whose one zero is
3-√5 and sum of zeros is 6​

Answer 1

Answer:

x² - 6x + 4

Step-by-step explanation:

Given:. one zero = 3 - √5

sum of zeroes = 6

To find: A quadratic polynomial

Solution: Let the zeroes be 'a' and 'b'

so, a = 3-√5

and, sum of zeroes = 6

a + b = 6

( 3 - √5 ) + b = 6

b = 6 - 3 + √5

b = 3 + √5

Now, product of zeroes = ab

= (3-√5)(3 +√5 )

= ( 3 )² - ( √5 )²

= 9 - 5

= 4

Quadratic polynomial = x² - ( a + b )x + ab

= x² - 6x + 4