Question

If a and B are zeroes and the quadratic polynomial
p(S) = 3S2 + 6S + 4, then the value of
a B /1 1
- + + 3aß is
Blo​

Answer 1

Answer: 8

Step-by-step explanation:

      1. αβ+βα+2(1α+1β)+3αβ=αβ+βα+2α+βαβ+3αβ=αβ+βα+2SP+3P

where S and P are the sum and the product of the roots.

Now

αβ+βα=α2+β2αβ=(α+β)2−2αβαβ=S2−2PP

With S=2 and P=43. Then, the result is 8.

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