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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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If a person flips a coin and then rolls a six dash sided die​, describe the sample space of possible outcomes using Upper H comm
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Answer:

Sample Space (S) = { (1,H), (1,T), (2,H), (2,T), (3,H), (3,T), (4,H), (4,T), (5,H), (5,T), (6,H), (6,T) }  

Step-by-step explanation:

If a person flips a coin; the possible outcomes of flipping a coin are { Head (H), Tail (T) }

If a person rolls a six dash side die, the possible outcomes of rolling a dice are { 1, 2, 3, 4, 5, 6 }

Now, If a person flips a coin and then rolls a six dash side die;

The Sample Space (S) which is the set of all the possible outcomes of the activities carried out can be described as follows:

DIE                               COIN  →

↓                                      

                                        H                               T          

1                                      (1,H)                             (1,T)

2                                    (2,H)                             (2,T)

3                                    (3,H)                             (3,T)

4                                    (4,H)                             (4,T)

5                                    (5,H)                             (5,T)

6                                    (6,H)                             (6,T)

Sample Space (S) = { (1,H), (1,T), (2,H), (2,T), (3,H), (3,T), (4,H), (4,T), (5,H), (5,T), (6,H), (6,T) }  

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