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Kay [80]
2 years ago
12

Find a polynomial of the specified degree that has the given zeros. Degree 4; zeros −1, 1, 4, 5 P(x) =

Mathematics
1 answer:
oksano4ka [1.4K]2 years ago
6 0

Answer:

The polynomial is;

x^4-9x^3+19x^2+9x-20

Step-by-step explanation:

Since it has a degree of 4, the highest power is 4

We have four zeros

So this means that each of the linear factors are;

We get this by equating each of the terms to x

(x-1)(x+1)(x-4)(x-5)

(x-1)(x+1) = x^2-1

So we have

(x-4)(x^2-1)

= x^3-x-4x^2 + 4

And lastly, we have

x(x^3-x-4x^2 + 4)-5(x^3-x-4x^2+4)

So we have;

x^4-x^2-4x^3+4x-5x^3+5x+20x^2-20

x^4-9x^3+19x^2+9x-20

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Which two issues have increased the need for alternatives to fossil fuels?
kirill115 [55]

Answer:

1. Global warming / carbon emission

2. Limited availability of the Earth resources

Step-by-step explanation:

1. Global warming is the ongoing rise of the average temperature of the Earth's climate system and has been demonstrated by direct temperature measurements and by measurements of various effects of the warming. It is a major aspect of climate change which, in addition to rising global surface temperatures, also includes its effects, such as changes in precipitation. The global warming is as a result of carbon emissions caused largely by fossil fuel

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8 0
3 years ago
How do you write the indicated form of a function for an absolute value equation?
timama [110]
Attached solution and work.

3 0
3 years ago
If JO = 32, is triangle JKO is congruent PMN to triangle ? If so, find JN.
TiliK225 [7]
It is true that they are congruent.
Side JK and PM are congruent to each other
JK = 25 
PM is divided into two measurements=19 and 6.
So PM is 19 + 6 = 25
Therefore JK = PM
8 0
3 years ago
Given the recursive formula:<br> a1=3<br> An=2(an-1+1)<br> Find a2 a3 a4
fenix001 [56]

Answer:

a_2 = 8

a_3 = 18

a_4 = 38

Step-by-step explanation:

We are given the following recursive formula:

a_n = 2(a_{n-1}+1)

And consider a_1 = 3

a2

a_2 = 2(a_1 + 1) = 2(3 + 1) = 8

a3

a_3 = 2(a_2 + 1) = 2(8 + 1) = 18

a4

a_4 = 2(a_3 + 1) = 2(18 + 1) = 38

6 0
3 years ago
HELP QUICK!!! :O WILL BRAINLIEST
Marianna [84]
A. you have to do the whole 30/2  i just had this on a test. GOOD LUCK 
6 0
3 years ago
Read 2 more answers
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