fx7x3x22 Find All Possible RootsZeros Using the Rational Roo

f(x)=7x3x2+2 Find All Possible Roots/Zeros Using the Rational Roots Test

Solution

We have given,

f(x)=7x^3x^2+2

Rational root test states that:- If a polynomial function has integer coefficients, then every rational zero will have the form p/q where p is a factor of the constant and q is a factor of the leading coefficient.

p= ± 1, 2

q= ± 1, 7

Hence possible rational roots for the guiven cubic polynomial are:-

± 1, ± 1/7, ± 2, ± 2/7