FAN AND MEDAL*** (HELP)

4)how do you find the zeros of a function by graphing? or, where are the zeros (solutions) of a function located on the graph of the function.
5) which do you prefer long division or synthetic division? why?

Question

FAN AND MEDAL*** (HELP)

4)how do you find the zeros of a function by graphing? or, where are the zeros (solutions) of a function located on the graph of the function.
5) which do you prefer long division or synthetic division? why?

anonymous · Answer

this question does not make any sence to me, sorry

anonymous · Answer

ik ;(

hero · Answer

In other words, the zeroes of a polynomial function occur on which axis?

anonymous · Answer

idontknow @hero ;/

hero · Answer

The zeroes of a function is the x-value that makes the function equal to zero. For example:

Suppose you have f(x) = 3x^2 + 6x. In order to find the zero for this, we would (starting with the vertex), continue plotting plotting points along the graph on either side of the x-axis and then approximate its value based on the graph. Then you'd keep approximating until you found the actual zero.

hero · Answer

That's the graphing technique, however, its much easier to simply factor 3x^2 + 6x, set it equal to zero, and then use the product property rule to find the zeroes.

In this case, 
3x^2 + 6x = 0
3x(x + 2) = 0

3x = 0
x + 2 = 0

x = 0
x = -2

So 0 and -2 are the zeroes of the function. Graphically, these zeroes occur on the x-axis.

hero · Answer

When thinking about the zeroes of a function, the question you want to ask yourself is, "What is the value of x when f(x) equals zero?".