(x2+3x-4) (x-4)
(x - 4) or (x + 8)
-2
You can work this out with long division, by checking to see if (x2 - 1) is a factor of (2x4 + 4x3 - x2 + 4x - 3). It is. Unfortunately, the WikiAnswers system is somewhat limited in depicting things such as long division, so we won't be able to represent it here. In short though, (2x4 + 4x3 - x2 + 4x - 3) / (x2 + 1) is equal to 2x2 + 4x - 3. which means that: (x2 + 1) / (2x4 + 4x3 - x2 + 4x - 3) = (x2 + 1) / (x2 + 1)(2x2 + 4x - 3) = 1 / (2x2 + 4x - 3)
x3 + x2 + 4x + 4 = (x2 + 4)(x + 1)
(x+5)(x-3)
x2 - 4x - 32 = (x - 8)(x + 4)
x2 + 4x - 32 = (x + 8)*(x - 4)
x2+4x-32 = (x-4)(x+8) when factored
Trinomials are polynomials with three terms. ie. x2+2x+1
if that's +32, it factors to -(x - 4)(x + 8)
Assuming that "x2" means x squared (x^2): x^2 - 4x - 32 = 0 factoring* (x-8)(x+4) = 0 So the roots are 8 and -4. Sorry I'm not sure what you mean by "symbolic answer." *If you don't see how to factor this trinomial, you can still apply the quadratic formula to get the same answer without being "clever."
For example: x2-49 = (x-7)(x+7) For example: 16x2-25 = (4x-5)(4x+5)
If that's +4x, the answer is (x - 4)(x + 8) If that's -4x, the answer is (x + 4)(x - 8)
When factored: (x+4)(x-8)
4x-x2 = 2
There are 2 roots to the equation x2-4x-32 equals 0; factored it is (x-8)(x+4); therefore the roots are 8 & -4.