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kiruha [24]
3 years ago
8

Why is it important to consider multiplicity when determining the roots of a polynomial equation? Write your response, citing ma

thematical reasons and providing examples that you create In order to receive full credit for this prompt, please answer the following questions: What it multiplicity? What does it tell us? Why must we take multiplicity into account when talking about the number of roots a polynomial has? What does multiplicity tell us about how the graph behaves at the roots?

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0

Answer:

Step-by-step explanation:

The multiplicity of a root of a polynomial equation is the number of times it appears in the solution.

Multiplicity is important because it can tell us two things about the polynomial that we work on and how it is graphed. first: it tells us the number repeating factor a polynomial has to determine the number of the real (positive or negative) roots and complex roots of the polynomial.

About graph behaves at the roots : Behavior of a polynomial function near a multiple root

The root −4 is a 'simple' root (of multiplicity 1), and therefore the graph crosses the x-axis at this root. The root 1 is of even multiplicity and therefore the graph bounces off the x-axis at this root.

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3 + x + x = 15<br> Just need a simple answer and explanation thank you
klemol [59]

Answer:

6

Step-by-step explanation:

3+x+x=15

3+2x=15

2x=15-3

2x=12

x=12/2

x=6

4 0
3 years ago
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Find each measure m&lt;1, m&lt;2,m&lt;3
Leno4ka [110]

Answer:

option 2.

m1 = 75    ,   m2 = 129   ,   m3 = 100

Step-by-step explanation:

with the rule that the internal angles of a triangle add up to 180 ° we can calculate the missing angles

x + 46 + 29 = 180

x = 180 - 46 -29

x = 105

a flat angle has 180 °

m1 + 105 = 180

m1 = 180 - 105

m1 = 75

46 + 54 + y = 180

y = 180 - 46 -54

y = 80

80 = z + 29

z = 80 - 29

z = 51

as they are two crossed lines the angle is reflected from the opposite side

with that principle and knowing that the angle of a turn is 360 °, if we subtract the 2 known angles and divide it by 2 we will obtain the missing angle (m2)

m2 * 2 = 360 - 51 * 2

m2 = 258/2

m2 = 129

m2 = 29 + m3

129 = 29 + m3

m3 = 129 - 29

m3 = 100

4 0
3 years ago
EXPRESS THE AREA OF THE ENTIRE RECTANGLE. YOUR ANSWER SHOULD BE A POLYNOMIAL IN STANDARD FORM
OlgaM077 [116]

Answer:

(x+7) times (x+3)

Step-by-step explanation:

Because a area of a rectangle is lw and you combine x and 3 to make x+3 and 7 and x to make x+7 and you multiply them together.

3 0
2 years ago
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Find the square root by factor <br>21904 
mihalych1998 [28]
21904|2\\10952|2\\.\ 5476|2\\.\ 2738|2\\.\ 1369|37\\.\ \ \ \ 37|37\\.\ \ \ \ \ \ 1|\\\\21904=2\times2\times2\times2\times37\times37=2^4\times37^2\\\\\sqrt{21904}=\sqrt{2^4\times37^2}=\sqrt{2^4}\times\sqrt{37^2}=2^2\times37=4\times37=148



\sqrt{21904}=\sqrt{4\times5476}=2\sqrt{4\times1369}=2\times2\sqrt37\times37}=4\times37=148

8 0
3 years ago
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klemol [59]
The answer is A.Use a compound interest calculator. Multiple sites to use. For me, I had to use my head for a while
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