Question

If are the zeroes of the quadratic polynomial () = 3

2 − 7 −6 , find a

polynomial whose zeroes are.

(i)

2

2

(ii) 2 + 3 3 + 2 (iii) −1
−1​

Answer 1

Step-by-step explanation:

Answer

Given zeros of polynomial are 3±

2

Let α,β be zeros of polynomial

then

α+β=3+

2

+3−

2

=6 ________ (1)

& αβ(3+

2

)(3−

2

)

αβ=9−3

2

+3

2

−2=7 _________ (2)

then

quadratic equation is

x

2

−(α+β)x+αβ=0

From (1) & (2)

[x

2

−6x+7=0]