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zavuch27 [327]
2 years ago
8

Find an nth degree polynomial function with real coefficients satisfying the given conditions.

Mathematics
1 answer:
damaskus [11]2 years ago
7 0

Step-by-step explanation:

Our roots are 3, and i so our roots form

will be

(x - 3)(x - i)

Since i is one root, it conjugate, must be the other.

so we have

(x - 3)(x - i)(x + i)

Simplify

( {x}^{2}  + 1)(x - 3)

{x}^{3}  - 3 {x}^{2}  + x - 3

So the function is

x {}^{3}  - 3 {x}^{2}  + x - 3

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What is the GFC of the numbers 12,18 and 26
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The greatest common factor (GCF) of 12, 18, and 26 is: 2

Since the lowest number is 12, you should only include factors up to 12.
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 18: 1, 2, 3, 6, 9
Factors of 26: 1, 2

The common factors between the three numbers are 1 and 2, but you are looking for the greatest common factor. The greatest means the highest, and which is the highest number out of 1 and 2? 2, so that is your answer.
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Convert this quadratic function to vertex form.
hammer [34]
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3 years ago
Question 2 (Essay Worth 10 points)
sashaice [31]
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Find an equation of the line that is perpendicular to the graph of 2x+5y=5 and contains the point of intersection of the graphs
gavmur [86]

Answer:

  5(x+1) -2(y-3) = 0

Step-by-step explanation:

For a given line ax+by=c and point (h, k), a perpendicular line through the point can be written as ...

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A graphing calculator shows the point of intersection of the graphs of the two lines to be (x, y) = (-1, 3), so the line perpendicular to 2x+5y=5 through that point can be written ...

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_____

In the attached graph, the requested line is shown in black.

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