Problem 4 Find the unique factorisations of the following po

Solution

B)

The roots of the polynomial (3x⁶+5x⁵2x⁴+3x²+5x2)/3 are:

x₁=1/3

x₂=2

x₃=0.70711+0.70711i

x₄=0.707110.70711i

x₅=0.70711+0.70711i

x₆=0.707110.70711i

the actual equation can be written as [(x-1/3)(x⁴+1)(x+2)/3]

A)

The roots of the polynomial x⁶+ x²+ x are:

x₁=0

x₂=0.75488

x₃=0.87744+0.74486i

x₄=0.877440.74486i

x₅=0.5+0.86603i

x₆=0.50.86603i

the factor of equation [x(x⁵+x+1)]