Question

if the zeroes of the polynomial p(x)= x³ - 4x²+ 5x+8 are a/r,a,ar then please give correct answer.​

Answer 1

Step-by-step explanation:

If a cubic polynomial has a constant,then prime factor of the constant may be one of the plausible solutions.

Eg: x^3+ 3x^2- 6x - 18 = 0;here if you factorise 18,the answer is 2x3x3 ;so it’s plausible that the solutions of the equations may be +2,-2,+3,-3. On actual solving ,we find that the answers are -3, √6 and -√6. So -3 was a possible answer and it is actually one of the answers!

Another method is adding the coefficients. If the sum of all the coefficients is 0(zero),then one of the answers may be 1. If the sum of odd coefficients is 0,then one of the possible answers is -1.