Question

. Which of these is the polynomial whose zeroes are
1
3
and (
−3
4
) ?
A. 12
2 + 5 − 3
B. 12
2 − 5 − 3
C. 12
2 + 13 + 3
D. 12
2 − 13 − 3

Answer 1

Answer:

Solution

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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