Exercise
Factor the polynomial equation
10x^4-15x^3-4x^2+6x=0
Final Answer
Solution
10x^4-15x^3-4x^2+6x=
We extract a common factor
=x(10x^3-15x^2-4x+6)=
Again we extract common factors in the parentheses
=x(5x^2(2x-3)-2(2x-3))=
Once again we extract a common factor – this time the expression in parentheses:
=x(2x-3)(5x^2-2)