Question

Find the quadratic polynomial the sum and product of whose zeros are -5 & -8 respectively​

Answer 1

Answer:

Given: – α + β = 2+1/√2 + 2−1/√2 = 4. αβ = (2+1/√2)(2-1/√2)=4−1/2=7/2 ∴ If α and β are zeroes of any quadratic polynomial, then the quadratic polynomial equation can be written directly as: – x2 – (α+β)x +αβ = 0 Thus, the required quadratic polynomial equation will be :- x2 – (4)x −7/2 = 0 2x2−8x+7 = 0.Read more on Sarthaks.com - https://www.sarthaks.com/2087/find-a-quadratic-polynomial-whose-zeroes-are-2-1-2-21-2