answersLogoWhite

0

Each factor will contribute a zero. f(x) = Ax^2 + Bx + C will take the form of something like f(x) = (x-r1)(x-r2) when you factor it. Now the zeros are the values of x for which f(x) = 0. You know 0 times anything is zero, so consider one factor at a time. (x-r1) will equal zero when x = r1, therefore r1 is a "zero" (or "root") of f(x). Incidentally, f(x) = 0 when x = r1 because 0*(x-r2) = 0 for any value of r2.

To find the second "zero" find the value of x that makes (x-r2) equal zero.

If f(x) = (x+2)(x+3) then the zeros are -2 and -3, because f(-2) = 0 and f(-3) = 0.

So if you can factor a function, you can easily find its zeros. The challenge is actually factoring the function.

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

BeauBeau
You're doing better than you think!
Chat with Beau
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin
JudyJudy
Simplicity is my specialty.
Chat with Judy

Add your answer:

Earn +20 pts
Q: How do you find zeros by factoring a function?
Write your answer...
Submit
Still have questions?
magnify glass
imp