Question

Write a quadratic polynomial with zeros 5+ root 3 & 5 - root 3

Answer 1

Answer:

alpha+beta=5+root3+5-root3

=5+5

=10

alpha*beta=5+root3*5-root3

=(5-root3)²

=25-3

=22

The quadratic polynomial is

x²-(alpha+beta)x+alpha*beta

x²-10x+22