Question

P(x)= kx3 -5x2- 12x +k product ot the zeros of the cubic polynomial

Answer 1

Answer:

product of zeros of the polynomial P(x) is: -1

Step-by-step explanation:

for any cubic polynomial of the type:

$G(x)=ax^3+bx^2+cx+d$

the sum of the roots of the polynomial is given by: $\dfrac{-b}{a}$

product of the roots of the polynomial is given by: $\dfrac{-d}{a}$

so we are here given a polynomial function as:

$P(x)=kx^3-5x^2-12x+k$

on comparing this equation to the general cubic equation we have:

$a=k, b=-5, c=-12 ,d=k$

so product of the zeros of this cubic polynomial is:

$=\dfrac{-k}{k}\\ \\=-1$

Hence, product of the zeros of the cubic polynomial is -1.