Question

Find the Quadratic polynomial whose zeros are root2 and 2root2

Answer 1

let
roots are α and β
α=√2
β=2√2

required quadratic equation

x²-(α+β)x+αβ=0

x²-(√2+2√2)x+√2*2√2=0

x²-3√2x+4=0

Answer 2

Answer:

let

roots are alpha and beta

alpha =root 2

beta = 2root 2

x2 -(alpha + beta)x +alphabeta = 0

x2 - ( root 2 + 2 root ) X + root 2 into 2 root 2 = 0

a square minus 3 root 2 X + 4 = 0