Question

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

Answer 1

first see if you can guess and root by hit and trial?

Answer 2

Im familiar if you factor just one number out of everything, but i think you need to factor out two different numbers.
@harsimran_hs4

Answer 3

-2 is one of the root of the equation
so can you write this as (x+2) * polynomial
tell me that polynomial

Answer 4

got hold of something?

Answer 5

@Presleyram
i expect that you also take a initiative in solving the question rather than me doing it alone

Answer 6

@harsimran_hs4
(x+3) ?

Answer 7

agreed
so now it becomes (x+3)(x+2) (some quadratic polynomial)
do you know how to find this quadratic polynomial?

Answer 8

@harsimran_hs4
do you take a 6 out since there's a 36

Answer 9

yes!

Answer 10

no you can`t
(x+3)(x+2) = (x^2 + 5x + 6)