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Presleyram
 2 years ago
Factor f(x) = x4 + x3 – 8x2 + 6x + 36 completely.
Presleyram
 2 years ago
Factor f(x) = x4 + x3 – 8x2 + 6x + 36 completely.

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harsimran_hs4
 2 years ago
Best ResponseYou've already chosen the best response.0first see if you can guess and root by hit and trial?

Presleyram
 2 years ago
Best ResponseYou've already chosen the best response.0Im familiar if you factor just one number out of everything, but i think you need to factor out two different numbers. @harsimran_hs4

harsimran_hs4
 2 years ago
Best ResponseYou've already chosen the best response.02 is one of the root of the equation so can you write this as (x+2) * polynomial tell me that polynomial

harsimran_hs4
 2 years ago
Best ResponseYou've already chosen the best response.0got hold of something?

harsimran_hs4
 2 years ago
Best ResponseYou've already chosen the best response.0@Presleyram i expect that you also take a initiative in solving the question rather than me doing it alone

Presleyram
 2 years ago
Best ResponseYou've already chosen the best response.0@harsimran_hs4 (x+3) ?

harsimran_hs4
 2 years ago
Best ResponseYou've already chosen the best response.0agreed so now it becomes (x+3)(x+2) (some quadratic polynomial) do you know how to find this quadratic polynomial?

Presleyram
 2 years ago
Best ResponseYou've already chosen the best response.0@harsimran_hs4 do you take a 6 out since there's a 36

harsimran_hs4
 2 years ago
Best ResponseYou've already chosen the best response.0no you can`t (x+3)(x+2) = (x^2 + 5x + 6) dw:1361982840767:dw

harsimran_hs4
 2 years ago
Best ResponseYou've already chosen the best response.0original polynomial is x4 + x3 – 8x2 + 6x + 36

harsimran_hs4
 2 years ago
Best ResponseYou've already chosen the best response.0this division is tricky so think over it with cool mind and in the end remainder must be zero so find out take your time and then reply

Presleyram
 2 years ago
Best ResponseYou've already chosen the best response.0@harsimran_hs4 I got (x+2)(x+3)(x24x+6) for the final answer

harsimran_hs4
 2 years ago
Best ResponseYou've already chosen the best response.0great!! so now to factorize x^2 4x + 6 is not factorisable because the discriminant of this equation is ve i.e it results in complex( non real) roots (although i think you already figured that out) so final answer is (x+2)(x+3)(x24x+6)
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