Question

Find the quadratic polynomial ,one of whose zeros is 2+under root 3 and sum of zeros is 4

Answer 1

here is the answer

let X be the unknown root of the polynomial

so, 2+√3 + x = 4

so, x = 2-√3

now, we know that quadratic polynomial is

= X² -(sum of roots)x+ product

X² - 4x + 1

hope it helps you

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