Question

find the quadratic polynomial whose zeroes are 2-root3 and 2+root 3
​

Answer 1

Answer:

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