Question

A quadratic polynomial whose zeros are 3/5 and -1/2 is a) 10x2 - x + 3 b) 10x2 + x - 3 c) 10x2 - x -3 d) 10x2 + x + 3​

Answer 1

Step-by-step explanation:

(d) x2 - 1 10 110x - 3 10 310 Here, the zeroes are 3 5 35 and − 1 2 −12 Let α = 3 5 35 and β = − 1 2 −12 So, sum of the zeroes, α + β = 3 5 35 + ( − 1 2 ) (−12) = 1 10 110 Also, product of the zeroes, αβ = 3 5 35 x ( − 1 2 ) (−12) = − 3 10 −310 The polynomial will be x2 – (α + β) x + αβ. ∴ The required polynomial is x2 - 1 10 110x - 3 10 310.Read more on Sarthaks.com - https://www.sarthaks.com/1111868/a-quadratic-polynomial-whose-zeroes-are3-5and-1-2-is-a-10x-2-x-3