Exercise
Factor the polynomial equation
x^3+5x^2-4x=20
Final Answer
Solution
x^3+5x^2-4x=20
We move everything to one side of the equation:
x^3+5x^2-4x-20=0
We extract a common factor from the first two expressions:
x^3+5x^2-4x-20=
=x^2(x+5)-4x-20=
We also extract a common factor from the last two expressions:
=x^2(x+5)-4(x+5)=
Once again we extract a common factor – this time the expression in parentheses:
=(x+5)(x^2-4)=
We break down the second factor using Short Multiplication Formulas (third formula) and get the factorizing:
=(x+5)(x-2)(x+2)
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