Question

a quadratic polynomial whose zeros are _3 and 4​

Answer 1

Step-by-step explanation:

Quadratic equation with α and β as roots can be written as

x

2

−(α+β)+αβ=0

Here, α=−3 and β=4

∴α+β=−3+4=1

and α−β=−3×4=−12

∴ The quadratic equation is

x

2

−(α+β)x+αβ=0

⇒x

2

−1x−12=0

⇒

2

x

2

−

2

x

−

2

12

=0

⇒

2

x

2

−

2

x

−6=0

Hence the quadratic polynomial is

2

x

2

−

2

x

−6