answersLogoWhite

0


Best Answer

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
This answer is:
User Avatar

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
Related questions

How can you use the zeros of a function to find the maximum or minimum value of the function?

You cannot. The function f(x) = x2 + 1 has no real zeros. But it does have a minimum.


How can you use a graph to find zeros of a quadratic function?

The zeros of a quadratic function, if they exist, are the values of the variable at which the graph crosses the horizontal axis.


How do you find the real zeros of a cubic function without a calculator?

In general, there is no simple method.


How do you find the zeros of any given polynomial function?

by synthetic division and quadratic equation


What are the zeros of a polynomial function?

the zeros of a function is/are the values of the variables in the function that makes/make the function zero. for example: In f(x) = x2 -7x + 10, the zeros of the function are 2 and 5 because these will make the function zero.


What does it mean to find the zeros of a function?

The zeros of a function are the values of the independent variable where the dependent variable has value of zero. In a typical representation where y = f(x), the zeroes are the points x where y is 0.


What are integral zeros?

The integral zeros of a function are integers for which the value of the function is zero, or where the graph of the function crosses the horizontal axis.


What is function of zeros command in matlab?

zeros makes a matrix of the specified dimension, filled with zeros.


How do you find all the zeros of a function?

You could try setting the function equal to zero, and finding all the solutions of the equation. Just a suggestion.


How do you find zero by factoring?

You can't get zero by factoring. Simple enough.


If a function is positive at a test number does the function has no zeros?

false!


what are all of the zeros of this polynomial function f(a)=a^4-81?

Find All Possible Roots/Zeros Using the Rational Roots Test f(x)=x^4-81 ... If a polynomial function has integer coefficients, then every rational zero will ...