- #1
basil
- 8
- 0
Hi,
I have a problem with splitting x4 + 1 into real quadratic factors. How can this be done?
Cheers.
I have a problem with splitting x4 + 1 into real quadratic factors. How can this be done?
Cheers.
basil said:Hi,
I have a problem with splitting x4 + 1 into real quadratic factors. How can this be done?
Cheers.
micromass said:Hi basil!
Say we split it as
[tex]x^4+1=(x^2+ax+b)(x^2+cx+d)[/tex]
Try to factor the left side. You'll obtain a system of equations that you need to solve...
gb7nash said:If this is the case, some functions might not have real "quadratic factors".
A "Power 4 equation" is a polynomial equation with the highest power being 4. This means that the equation will have terms with variables raised to the power of 4, 3, 2, 1, or 0.
Quadratic factors are expressions that can be factored into two linear expressions. In other words, they are equations in the form of (ax^2 + bx + c) where a, b, and c are constants and x is the variable.
Converting a Power 4 equation to Quadratic factors allows us to solve the equation using methods such as the quadratic formula or factoring. This makes it easier to find the solutions to the equation and understand its behavior.
To convert a Power 4 equation to Quadratic factors, you need to factor out the common term in each term of the equation. Then, you can use the quadratic formula or factoring to solve for the solutions of the equation.
Using Quadratic factors in Power 4 equations allows us to simplify the equation and make it easier to solve. It also helps us to understand the behavior of the equation and make predictions about its solutions.