Question

12. Fond the quadratic polynomial whose zeroes are (3+ root 5) and 3 - root 5)
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Answer 1

Given :

• Zeroes are ( 3 + √5 ) and ( 3 - √5 )

To find :

• The quadratic polymial =?

Solution :

• As we know that :

• Quadratic polynomial

=> x² - ( sum of Zeroes ) x + product of zeroes .

• Sum of Zeroes = 3 + √5 +3 - √5

=> sum of Zeroes = 6 .

• Product of Zeroes = (3+√5)(3-√5)

=> product of zeroes = 3² - √5²

=> product of zeroes = 9-5 = 4

Put this in the formula:

• Quadratic polynomial = x² - 6x + 4 .

HENCE , THE QUADRATIC POLYMIAL IS

X² - 6X +4 .

Answer 2

Step-by-step explanation:

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