If is a root, then is a factor.
If is a root, then is a factor.
Therefore,
Simplifying (factoring out x in 2nd and 3rd terms):
Hello! I am currently having a homework for tomorrow with pretty advanced tasks, for me atleast, that I should solve. I have though got stuck on some of them but there is one in perticular that i have no idea how to solve and I was hoping that you might help me out with this. I start with writing the task.
(It is in Swedish so I am going to try to translate it the best i can)
a) Show that if an Quadratic equation has the roots then the equation is
b) Solve the Equation above and show that is has the solutions
I am quite sure that you need to use the pq-formula for this one but then you get
This in my eyes does not say much.
If someone is willing to help me out here I'm very glad!
Thanks in advance!
//Rickard Liljeros
PS. I didn't put this in urgent help section since I maybe after this problem will ask for some other algebra help and thought it would be unnecessary to start a new thread for each one.
You have probably learned that a zero of a function f(x) is any value c such that f(c)=0. When the function is graphed, the real zeros of the function are the x-intercepts of the graph.
If is a polynomial function, then
c is a zero of the polynomial function f(x),
x-c is a factor of the polynomial function f(x), and
c is a root or solution of the polynomial equation f(x)=0.