Question

Factor each polynomial completely over the set of complex numbers.

1. a(x)=2x^4-3x^3-24x^2+13x+12

2. b(x)=x^4-2x^3-17x^2+4x+30

3. c(x)=2x^3-5x^2+12x-5

Answer 1

1. a(x) = (x-4) (x-1) (2x+1) (x+3)

2. b(x) = (x^2-2) (x-5) (x+3)

3. c(x) = (2x-1) (x^2- 2x + 5)