Write the equation of the graph shown below in factored form.

Each intercept in the graph is a factor of the equation. When the intercept has a multiplicity of 1 (to the 1st power, or normal), it simply goes through the point, and when it has a multiplicity of 2 (to the 2nd power), it curves back.

Because the graph simply passes through all 3 intercepts, and the graph shown is a cube ([tex]x^{3}[/tex] graph, we know that there has to be 3 factors, all with a multiplicity of 1. Multiplicity in the equation is simply the power that the factor is raised by.

If you multiply all the intercepts together [or (x - 1)(x - 2)(x - 3)], you will have the equation already in factored form, meaning you have your answer.

Hope this helped! :)

bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-08-12T16:41:34+02:00

The equation of the graph given in the factored form is (x-1)(x-2)(x-3).

We need to write the equation of the graph shown below in the factored form.

What are the factors of expression?

A factor in an expression is something that is multiplied by something else. It can be a number, variable, term or any other longer expression.

From the given graph we can see the line intersects the x-axis at x=1, x=2 and x=3.

So, factors=(x-1)(x-2)(x-3)

Therefore, the equation of the graph given in the factored form is (x-1)(x-2)(x-3).

To learn more about the factors of algebraic expressions visit:

https://brainly.com/question/1025413.

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