# How do you find the real zeros of a function?

## How do you find the real zeros?

Graphically, the real zero of a function is **where the graph of the function crosses the x‐axis** that is, the real zero of a function is the x‐intercept(s) of the graph of the function. Find the zeros of the function f ( x) = x ^{2} – 8 x – 9. Find x so that f ( x) = x ^{2} – 8 x – 9 = 0.

## How do you find the number of real zeros of a function?

In general, given the function, f(x), its zeros can be found by setting the function to zero. The values of x that represent the set equation are the zeroes of the function. To find the zeros of a function, **find the values of x where f(x) = 0**.

## What is the easiest way to find the zeros of a function?

The zeroes of a function are the values of x at which the total equation is equal to zero, so calculating them is as easy as **setting the function equal to zero and solving for x**.

## How do you find the real zeros of a quadratic function?

To find the zeros/roots of a quadratic: **factor the equation, set each of the factors to 0, and solve for**. In other words, given f ( x ) = a ( x − p ) ( x − q ) , find ( x − p ) = 0 and. Use the square root method for quadratic expressions in the form.

## Which function has no real zeros?

How To Find the Real Zeros of a Polynomial Function

## What are the real zeros?

A real zero of a function is **a real number that makes the value of the function equal to zero**. A real number, r , is a zero of a function f , if f(r)=0 . Find x such that f(x)=0 . Since f(2)=0 and f(1)=0 , both 2 and 1 are real zeros of the function.

## How do you find all real and imaginary zeros?

Quote from video: *Well the square root of negative one is i the square root of two times two the square root of four is two so we have x equals plus or minus two i. So our remaining two zeros are imaginary.*

## How do you find the real zeros of a polynomial graph?

To find the zeros of a polynomial function, if it can be factored, **factor the function and set each factor equal to zero**. Another way to find the x-intercepts of a polynomial function is to graph the function and identify the points at which the graph crosses the x-axis.