Question

24.If α and β are zeros of p(x) = x2 + x – 1, then find the value of (i) α2+ β2 (ii) α2 β + α β2 (iii)α3 β+ α β3

Answer 1

Step-by-step explanation:

sum of roots a+b=-1

product of roots ab=-1

a^2+b^2=(a+b)^2-2ab

=(-1)^2-2(-1)=1-2=-1

ii) a^2b+b^2a=ab(a+b)

=-1(-1)=1

iii) ab(a^2+b^2)=-1(-1)=1