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Name Graphing Polynomials Factored Form HW Graph the following polynomial functions. Be sure to state the zeros, their multiplicities, and describe the end behavior. 1) f(x) (2x + 3)5(x + 3)(x 4)2
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How to fill out graphing polynomials in factored

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How to fill out graphing polynomials in factored:

01
Write out the factored form of the polynomial equation. This typically looks like (x - a)(x - b)(x - c)...
02
Identify the x-intercepts by setting each factor equal to zero and solving for x. These x-intercepts represent the roots of the polynomial.
03
Determine the behavior of the graph by examining the sign of each factor. If a factor is raised to an odd power, the graph will cross the x-axis at that root. If a factor is raised to an even power, the graph will touch but not cross the x-axis at that root.
04
Find the y-intercept by plugging in x = 0 into the factored equation and solving for y.
05
Sketch the graph, connecting the x-intercepts and the y-intercept with a smooth curve that reflects the behavior of the equation between and after the roots.

Who needs graphing polynomials in factored:

01
Math students studying algebra and polynomial functions.
02
Engineers and scientists analyzing data sets that can be modeled by polynomials.
03
Teachers preparing lesson plans and assessments on graphing polynomials.
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Graphing polynomials in factored involves plotting the polynomial functions after factoring them into linear factors.
Anyone studying or working with polynomial functions may need to graph polynomials in factored form.
To fill out graphing polynomials in factored, one must first factor the polynomial completely and then plot the resulting linear factors on a graph.
The purpose of graphing polynomials in factored form is to better understand the behavior and properties of polynomial functions.
The key information to report on graphing polynomials in factored includes the x-intercepts, y-intercept, turning points, and end behavior of the polynomial function.
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