Question

6. Ifa, B. Y are the zeroes of the cubic polynomial ax' + bx + cx+d, then​

Answer 1

Answer:

Let p(x) =ax3 + bx2 + cx + d

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

Let α, β and γ are the zeroes of cubic polynomial p(x), where a = 0.

We know that,

then,

sum of product of zeroes = c/a

alpha × beta + beta× gamma + gmma × alpha = c/a

0 × beta + beta × gamma + gamma×0 =c/a

beta / gamma = c/a ..

Hence ,

The other two zeroes are c /a