Question

13. Form a quadratic polynomial whose zeroes are 3+√5 and 3-√5​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

let

a = 3 + √5

b = 3 - √5

be the roots of the polynomial

then,

sum of roots = a+b = 3 + √5 + 3 - √5 = 6

product of roots = ab = (3 + √5)(3 - √5) = 9 + (-5) = 4

now the required polynomial is

x² - (a+b)x + ab

= x² - 6x + 4