Question

if the zeroes of a polynomial are -1/2 and 2/3 then find the polynomial​

Answer 1

Step-by-step explanation:

Let f(x)=x

2

−5x+6

f(x)=0⇒ x

2

−5x+6=0

⇒(x−2)(x−3)=0

⇒x=2 and x=3

∴2,3 are the zeros of the polynomial x

2

−5x+6

∴ Assertion is true.

Reason

Let f(x)=x

2

−(α+β)x+αβ

f(x)=0⇒x

2

−(α+β)x+αβ=0

⇒(x−α)(x−β)=0

⇒x=α and x=β

∴α,β are the zeroes of the polynomial x

2

−(α+β)x+αβ

∴ Reason is true

Since, both the Assertion and Reason are true and Reason is a correct explanation for Assertion.

The correct answer is A.