Question

find the quadratic polynomial in each case,with the given numbers as the sum and product of zeros respectively
1)4,1. 2)1,1​

Answer 1

Answer:

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 ) ) = k ( x² + 2x - 8 ) Therefore, Quadratic Polynomial is k ( x² + 2x - 8 )