Question

from a quadratic polynomial whose zeros are 7+√5 and 7-√5​

Answer 1

Answer:

44 or 0

Step-by-step explanation:

Answer 2

Answer:

Given :-

• Zeroes are 7 + √5 and 7 - √5 to from a quadratic polynomial.

Solution :-

Sum of zeroes = 7 + √5 + 7 - √5

= 7 + 7 + √5 - √5

= 14

Product of zeroes = (7 + √5) (7 - √5)

= (7)² - (√5)²

= 49 - 5

= 44

Required equation,

x² - (sum of roots)x + product of roots = 0

➞ x² - (14)x + 44 = 0

➞ x² - 14x + 44 = 0

∴ The required quadratic polynomial is

x² - 14x + 44