None of the given options are correct. The rational roots of the equation x^4 + 8x^3 + 7x^2 – 40x – 60 = 0 can be found using the Rational Root Theorem. The possible rational roots are factors of the constant term (-60) divided by the factors of the leading coefficient (1).
The factors of 60 are ±1, ±2, ±3, ±4, ±5, ±6, ±10, ±12, ±15, ±20, ±30, ±60.
The possible rational roots are ±1, ±2, ±3, ±4, ±5, ±6, ±10, ±12, ±15, ±20, ±30, ±60.
By testing each of these possible roots, it can be determined that the rational roots of the equation are -6 and 2.
Whats the right answer
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
1 answer