Question

show that the equation 6x^4-7x+1=0 does not have more than two distinct reals roots (use Roll's Theorem.)

Answer 1

isnt rolls thrm just the mean value thrm at zero?

Answer 2

how many solutions to dy/dx = 0 ?

Answer 3

6x^4-7x+1=0

24x^3 -7 = 0

x^3 = 7/24

since there is only one value of dy/dx that equals zero, there must be at most 2 real roots