Question

If alpha and beta are the zeroes of the polynomial 2t^2 - 4t +3, then the value of a^2 b + ab^2 is.....
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Answer 1

Answer:

3

Step-by-step explanation:

Polynomials written in form of ax^2 - bx + c represent -b/a as sum of their roots and c/a as product of their roots.

 So, here if α and β are roots.

 ⇒  α + β = - ( - 4/2 ) = 2

 ⇒ αβ = 3/2

Here,

⇒ α^2 β + β^2 α

⇒ αβ( α + β )

⇒ product of roots( sum of roots )

⇒ (3/2) ( 2 )

⇒ 3*1

⇒ 3

  Hence, α^2 β + β^2 α is 3

Answer 2

Answer:

Step-by-step explanation:

3