Question

if alpha and beta are the two zeroes of the polynomial 6y2-7y+2 find a quadratic polynomial whose zeroes are 1/alpha and 1/ beta

Answer 1

you can even solve this more by taking Lcm , take lcm then take common from that or else this is also correct

Answer 2

βα = c/a = 2/6 = 1/3
α+β = -b/a = 7/6
.................................................................................
1/α × 1/β = 1/αβ = 1 /(1/3) = 3
1/α + 1/β = α+ β/αβ = (7/6)/(2/6) = 7/2
⇒ 
2y^2 -7y +6
.................................................................................
plz mark me as brainliest.