Question: how to find a quadratic polynomial whose zeros are given?
Answer: Answer:
Step-by-step explanation:
To find: Quadratic Polynomial.
where , ( α + β ) is sum of zeroes and αβ is product of zeroes.
Here, α = - 4 and β = 2. ⇒ α + β = -4 + 2 = -2.
αβ = -4 × 2 = -8. ⇒ Quadratic Polynomial = k ( x² - ( -2 ) x + ( -8 ) ) ... 
Therefore, Quadratic Polynomial is k ( x² + 2x - 8 )