Question

find a quadratic polynomial whose zeroes are 5+root3 5-root3​

Answer 1

alpha. 5+√3

beta . 5-√3

we know,

alpha + beta is equal to -b/a

5+√3+5-√3 equal to 0/1

alpha × beta equal to c/a

( 5 + √3 )( 5 - √3 ) equal to 22/1

here,

value of a is 1, b is 0, c is 22,

standard form of quadratic is

ax^2+bx+c

putting value of a,b,c in eq.

x^2 + 22