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Nadusha1986 [10]
3 years ago
9

What does the degree of a polynomial expression tell you about its related polynomial function? Explain your thinking. Give an e

xample of a polynomial expression of degree three. Provide information regarding the graph and zeros of the related polynomial function.

Mathematics
2 answers:
ludmilkaskok [199]3 years ago
8 0

The graph of function like that may may never cross the x-axis,

so the function could have no real zeros.

If it does have zeros, they will come in pairs,

because "what goes up must come down" and vice versa.

Of course the function cannot have more zeros than its degree.

For example, a polynomial function of degree 6 could have 0, 2, 4, or 6 real zeros.


HACTEHA [7]3 years ago
3 0

The polynomial degree relates to the number of "zeros" or points of intersection of the polynomial function (curve in the (x,y) plane) with the x axis (that is, points where y=0). These zeros can sometimes be coinciding but that phenomenon aside, you will see N such intercepts with the x axis for a polynomial expression of N-th degree.

Example of a polynomial of 3rd degree is: x^3 + 2 x^2 - x - 2

You can factor it to (x-1)(x+1)(x+2) to see that the zeros are +1, -1, and -2. The plot is attached as an image - note the intercepts. Lmk if you have questions.

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Solve each system by multiplying. Check ur answer.
kondor19780726 [428]
Multiply all terms in the first equation by 2 and all terms in the second by 3.
You should obtain:

6x + 16y = 34
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xxTIMURxx [149]

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Step-by-step explanation:

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Which of the following equations best models the data plotted below?
ICE Princess25 [194]
The key with these problems is to find which function has the closest y-intercept to the graph, and then try to figure out which one best approximates the slope. 
Here are our options:
<span>A. y = x + 4 
B. y = 4x + 9 
C. y = x + 18 
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Which has the closest approximation of the y-intercept? 
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Which has the closest approximation of the slope? 
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Therefore, the answer is 
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</span>
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