Question

if one of the zeros of the cubic polynomial ax3 + bx2 + cx + d is 0 the sum of the reciprocal of the other 2 zeroes is

Answer 1

Let p(x) =ax3 + bx2 + cx + d

Given that, one of the zeroes of the cubic polynomial p(x) is zero.

Let a, Ᏸ and y are the zeroes of cubic

polynomial p(x), where a = 0.

We know that

Step by step explaination

sum of two zero at a time = c/a

:aᏰ + Ᏸy + ya = c/a

:0×Ᏸ + Ᏸy + y×0 = c/a

Ᏸy = c/a

hence, product of 2 zeroes =c /a