Question

Find a quadratic polinomiyal whose zeroes are 3+√5 & 3-√5

Answer 1

Answer:

the roots are 3 + √5 and 3 -√5

so,

their sum = 3 + √5 + 3 -√5 = 6

and

their product = ( 3 +√5)(3-√5)

= 3² + (√5)²

= 9 - 5 = 4

so,

required quadratic polynomial is

p(x) = x² - ( sum)x + product

or,

p(x )= x² - 6x + 4.

Step-by-step explanation:

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