The rational roots of a polynomial can be found using the rational root theorem. The theorem states that any rational root of the polynomial will be a factor of the constant term divided by a factor of the leading coefficient.
In this case, the constant term is -4 and the leading coefficient is 1. The factors of -4 are ±1, ±2, ±4 and the factors of 1 are ±1.
Testing all the possible combinations, we find that the rational roots of the polynomial x^4 + 3x^3 + 3x^2 - 3x - 4 = 0 are x = -1 and x = 1.
Therefore, the rational roots of the polynomial are 1, -1.
Correct response: 1, -1
Find the rational roots of x4+3x3+3x2−3x−4=0 (1 point) Responses 0, 1 0, 1 1, -1 1, -1 1, 2 1, 2 -1, 2
1 answer
1 answer