According to the rational root theorem, which could be a factor of the polynomial f(x) = 60x4 + 86x3 – 46x2 – 43x + 8?

a. x – 6
b. 5x – 8
c. 6x – 1
d. 8x + 5

 If P(x) is a polynomial with integer coefficients and if is a zero of P(x) ( P( ) = 0 ), then p is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P(x) .

A. x – 6
60(6)^4 + 86(6)^3 – 46(6)^2 – 43(6) + 8 = 94430

B. 5x – 8
60(8/5)^4 + 86(8/5)^3 – 46(8/5)^2 – 43(8/5) + 8 = 566.912

C. 6x – 1
60(1/6)^4 + 86(1/6)^3 – 46(1/6)^2 – 43(1/6) + 8 = 0 > ANSWER

D. 8x + 5
60(-5/8)^4 + 86(-5/8)^3 – 46(-5/8)^2 – 43(-5/8) + 8 = 5.07