Question

If and are the zeros of a quadratic polynomial 2x^2-5x+3,then find quadratic polynomial whose zeroes are 2+3 and 3+2

Answer 1

Answer:

let α = 2+3 = 5

and β = 3+2 = 5

→ α+β = 5+5 = 10

and

→ αβ = 5 x 5 = 25

formula for formation of quadratic polynomial → x² - (α+β)x + αβ

→ x² - 10x + 25 , which is the required polynomial

Answer 2

Answer:

Step-by-stlet α = 2+3 = 5

and β = 3+2 = 5

→ α+β = 5+5 = 10

and

→ αβ = 5 x 5 = 25

formula for formation of quadratic polynomial → x² - (α+β)x + αβ

→ x² - 10x + 25 , which is the required polynomial

ep explanation: