Find the rational roots of x4 + 8x3 + 7x2 – 40x – 60 = 0. (1 point) Responses 2, 6 2, 6 –6, –2 –6, –2 –2, 6 –2, 6 –6, 2 –6, 2
Using the rational root theorem, we can find the potential rational roots by looking at the factors of the constant term (-60) divided by the factors of the leading coefficient (1).
Potential rational roots: ±1, ±2, ±3, ±4, ±5, ±6, ±10, ±12, ±15, ±20, ±30, ±60
The rational roots of the equation x^4 + 8x^3 + 7x^2 – 40x – 60 = 0 are therefore:
-2, 6