Which Of The Following Describes The Zeroes Of The Graph Of F(X) = 3X6 + 30X5 + 75X4?

Are you trying to graph out a function? If so, you’ll need to understand the zeroes of your graph. The zeroes are the values that make the equation equal zero, or in other words, the x-intercepts. Knowing how to identify and calculate these is an important part of graphing functions. In this article, we’ll be discussing what it means for a graph to have zeroes and how you can use them to determine the equation of a function. We’ll also be taking a look at an example equation and explain which of the following describes its zeroes. Let’s dive right in!

The graph of F(x)

Assuming you are referring to the graph of y = x + x + x, the zeroes would be at -3, 0, and 3 since that is where the y-value is equal to 0.

The zeroes of the graph of F(x)

There are three zeroes of the graph of F(x), which are x = -1, x = 0, and x = 1. These zeroes correspond to the points where the graph intersects the x-axis.

How to find the zeroes of the graph of F(x)

To find the zeroes of the graph of F(x), we need to solve the equation F(x) = 0.

In this case, we have F(x) = x + x + x, so we need to solve the equation x + x + x = 0.

We can do this by using the distributive property:

x + x + x = 0

x(1 + 1 + 1) = 0

x(3) = 0

Since x cannot be equal to zero, we know that the only solution is x = 0. Therefore, the zeroes of the graph of F(x) are at x = 0.

The different methods to find the zeroes of a polynomial equation

There are three methods to find the zeroes of a polynomial equation:

1) Factorisation:

This is the process of finding the factors of a polynomial. The zeroes of a polynomial are the points where the polynomial equals zero. To factorise a polynomial, we need to find its roots.

2) Graze:

This is the process of finding the points where the graph of a function touches or crosses the x-axis. The zeroes of a polynomial are the points where the polynomial equals zero. To graze a polynomial, we need to find its roots.

3) Newton’s Method:

This is a iterative method used to find approximate solutions to equations. It is based on the idea that if we start with an initial guess and then take small steps in the direction that will decrease the value of the function, we will eventually get closer and closer to a root until we reach it.

Conclusion

In conclusion, the zeroes of the graph of f(x) = 3×6 + 30×5 + 75×4 are -2, 0, and 5. This can be easily determined by setting f(x) equal to zero and solving for x. By understanding how to solve for zeroes on a given function’s graph, you can gain insight into how the graph will look without having to plot it out. Knowing this information is important as it makes working with graphs much simpler and more efficient.