Question

Can we verify Zeroes of the cubic polynomial:p(x)=3xcube-5xsquare-11x-3 by taking the zeroes as factors
Example: Zeroes are 3,-1-1/3

Answer 1

According to question

P(x) = 3 x^3 - 5 x^2 - 11x - 3
thus taking the equation to Zero

3 x^3 - 5 x^2 - 11x -3 = 0
Differentiating the equation with respect to x

9x^2 - 10x - 11 = 0
9x(x-10) = 11
thus

x= 21, 11/9