How to factor this 3rd degree polynomial? (x^3+2x^2-5x-6)

[Kelsey_Mo]

Could you factor the following polynomial please? :

f(x)= x^3 + 2x^2 -5x -6

Could u do it step by step and explain how you got to each step? Thanks

 

[Deleted member 4993]

Could you factor the following polynomial please? :

f(x)= x^3 + 2x^2 -5x -6

Could u do it step by step and explain how you got to each step? Thanks

Do you know rational root theorem?

Otherwise, by observation f(2) = 0 → (x-2) is a factor of the polynomial. Now continue....

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

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[lookagain]

Could you factor the following polynomial please? :

f(x)= x^3 + 2x^2 -5x -6

You can study the rational root theorem as recommended.


Also, see this:


\(\displaystyle x^3 \ + \ 2x^2 \ - \ 5x \ - \ 6 \ =\)

\(\displaystyle x^3 \ +\ (x^2 + x^2) \ - \ 5x \ - \ 6 \ =\)

\(\displaystyle (x^3 + x^2) \ + \ (x^2 - 5x - 6) \ = \)

\(\displaystyle x^2(x + 1) \ + \ (x + 1)(x - 6) \ = \)

\(\displaystyle (x + 1)(x^2 + x - 6) \ = \)


And continue.