Question

find a quadratic polynomial whose sum and product of zeroes is -8 and 12 respectively

Answer 1

Answer:

x^2+8x+12=0

Step-by-step explanation:

ANSWER

⇒ Let α and β are zeros of required quadratic polynomial.

⇒ α+β=-8 ---- ( 1 )

⇒ αβ=12 ----- ( 2 )

The required polynomial,

x ^2−(α+β)x+(αβ)=0

Now, using ( 1 ) and ( 2 )

⇒ x^2+8x+12=0