Question

find the quadratic polynomial whose zeroes are 2+√3 and 2-√3​

Answer 1

Step-by-step explanation:

The zeros are 2+

3

and 2−

3

Let the quadratic polynomial be (x−r

1

)(x−r

2

) where r

1

and r

2

are the zeros of the polynomial.

Thus the polynomial is

[x−(2+

3

)][x−(2−

3

)]

=(x−2−

3

)(x−2+

3

)

=(x

2

−2x+

3

x−2x+4−2

3

−

3

x+2

3

−3)

=x

2

−4x+1