Question

Find a quardic polynomial who zeroes are 2+√3 and 2-√3

Answer 1

Answer:

x^2+4x+1

Step-by-step explanation:

2+√3 and 2-√3 are the zeroes given

general form of quadratic equation=x^2+(sum of zeroes)x+(product of zeroes)

=x^2+(2+√3+2-√3)x+(2+√3)(2-√3)

=x^2+(2+2)x+(2+√3)(2-√3)[+√3-√3=0]

=x^2+(4)x+2(2-√3)+√3(2-√3)[binomial multiplication]

=x^2+4x+4-2√3+2√3-3

=x^2 +4x+4-3[-2√3+2√3=0]

=x^2+4x +1