Question

If A and B are Zeroes of the polynomial F(t)= t²-4t+3. FIND VALUE OF (i) a⁴ b³ + b⁴ a³ and (ii) ab + ba

Answer 1

Step by step explanation:

Since, α and β are the zeroes of the quadratic polynomial f(t) = t2 – 4t + 3

So, Sum of the zeroes = α + β = 4

Product of the zeroes = α × β = 3

Now,

α4β3 + α3β4 = α3β3(α + β)

= (3)3(4) = 108