Question

A quadratic polynomial whose zeroes are −3 and 4 is
(a)
2 − + 12 (b)
2 + + 12 (c)
2 − − 12 (d) 2
2 + 2 − 24

Answer 1

Answer:

c option is correct

Step-by-step explanation:

X^2 - ( -3+4)X + (-3*4)

X^2 -X - 12

Answer 2

Correct option is

C

2

x

2

−

2

x

−6

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