Exercise
Factor the polynomial equation
2x^3+5x^2-2x-5=0
Final Answer
Solution
2x^3+5x^2-2x-5=
We extract a common factor from the first two expressions:
=x^2(2x+5)-2x-5=
We arrange the last two expressions to be exctly as the expression in parentheses:
=x^2(2x+5)-(2x+5)=
Once again we extract a common factor – this time the expression in parentheses:
=(2x+5)(x^2-1)=
We break down the second factor using Short Multiplication Formulas (third formula) and get the factorizing:
=(2x+5)(x-1)(x+1)