I need help on how to factorize the following w/o calculator if possible.
I've attempted to factor with whole numbers with no avail.
I've checked the answers and the factor of it is.
For the solution to be true
From what I know, via the answers.
Has no solutions because
Then there are no solutions.
So, is there no way to do this mentally or by hand? Assuming I am factorizing over irrational numbers.
Since linear factors involving integers are not possible, it's natural to then try to factor it as a product of two quadratics:
(x^2 + ax + b)(x^2 + cx + d)
and then see if you can find integer values of a, b, c and d.
I'm still stuck on this equation. I tried factorizing by identical equations but I end up with too many variables, is there really no way to factor this? I want to know how to factorize this.
(My attempt to factorize)
you might want to solve the system for and , thus recovering the factorized expression of the polynomial and solving it in the standard way.
However I don't know if it is possible to solve this system. You have four unknowns and four equations, but how to solve it I have no idea yet (haven't really looked). Try to work out some algebra around the system and see what you can do ?