SOLUTION: Did the way my school factored this make sense or is there an easier way to solve this? y^4 + y^2 - 6 Their solution: When a problem looks slightly odd, we can make it app

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Did the way my school factored this make sense or is there an easier way to solve this? y^4 + y^2 - 6 Their solution: When a problem looks slightly odd, we can make it app      Log On


   



Question 1106371: Did the way my school factored this make sense or is there an easier way to solve this?
y^4 + y^2 - 6
Their solution:
When a problem looks slightly odd, we can make it appear more natural to us
by using substitution (a procedure needed for calculus). Let u=y^2. Factor the expression with u’s. Then, substitute the y^2 back in place of the u’s. If you can factor more, proceed. Otherwise, you are done.
1.(y^2-2)(y^2+3)
2. y^4+y^2-6
3. u^2+u-6
4. (u2-2)(u+3)

Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
y%5E4%2By%5E2-6
let u=y%5E2
-
u%5E2%2Bu-6
%28u%2B3%29%28u-2%29
substitute back for u.
%28y%5E2%2B3%29%28y%5E2-2%29
DONE.