Question

Cubic equation ax3+bx+c$d=0 relation sum of zeros alpha beta gama

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

b) 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 .

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