Find the quadratic polynomial whose zeros are (2,3) and( –2,–3)

### 1 thought on “Find the quadratic polynomial whose zeros are (2,3) and( –2,–3)”

### Leave a Comment

You must be logged in to post a comment.

Find the quadratic polynomial whose zeros are (2,3) and( –2,–3)

You must be logged in to post a comment.

Correct option is

B

x

2

−4x+1

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