Question

find the rational roots of polynomial 2x^3+3x^2-11x-6

Answer 1

x=-2,3 and 1/2 are zeroes of the function.
(x+2),(x-3)and (x-1/2) are the roots of the function.

Answer 2

All possible rational roots are $\pm1, \pm 2,\pm 3,\pm 6,\pm \dfrac{1}{2},\pm \dfrac{3}{2}$.

Step-by-step explanation:

The given polynomial is

$2x^3+3x^2-11x-6$

According to rational root theorem, all possible rational roots are in the form p/q where, p is factor of constant and q is factor of leading term.

In the given polynomial constant term is -6.

Factors of -6 are ±1, ±2, ±3, ±6.

In the given polynomial leading term is 2.

Factors of 2 are  ±1, ±2.

All possible rational roots are

$\pm1, \pm 2,\pm 3,\pm 6,\pm \dfrac{1}{2},\pm \dfrac{3}{2}$

#Learn more

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11?

https://brainly.in/question/8152515