Question

if a, b, r are zero of polynomial ax3+bx2+cx+d then a2+b2+r2​

Answer 1

here ^ means power

we know

a +b+r = -b/a

abc= -d/a

ab +br+ra= c/a

now (a+b+r)^2 = a^2+b^2+r^2 +2 (ab+br+rc)

putting values

(b/a)^2= a^2+b^2+r^2 +2c/a

a^2+b^2+r^2= (b^2-2ac)/a^2