Given:
it is given that a polynomial function g(x) with integer coefficients has a leading coefficient of -6 and a constant term of 9.
Find:
we have to find the correct root of the function from the given options.
Explanation:
Following is the statement of Rational root theorem
Therefore, according to the Rational root theorem
(-2/3) , (-2/9), 2 are the possible roots of g(x)
as gcd(-2,3) = 1 and -2|-6 & 3|9
gcd(-2,9) = 1 and -2|-6 & 9|9
gcd(2,1) = 1 and 2|-6 & 1|9.
Therefore, the possible roots of the polynomial g(x) are (-2/3) , (-2/9), 2.
