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amid [387]
2 years ago
12

Describe polynomial and its type with examples

Mathematics
2 answers:
KonstantinChe [14]2 years ago
8 0

Answer:

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a polynomial of a single indeterminate, x, is x^2 − 4x + 7.

Maslowich2 years ago
6 0
<h2><em>Polynomial</em></h2>

<em>An </em><em>algebraic</em><em> </em><em>expression</em><em> </em><em>is </em><em>of </em><em>the </em><em>form </em><em>of </em><em>a0+</em><em>a1x+</em><em>a2x^</em><em>2</em><em>+</em><em>anx^</em><em>n</em><em>,</em><em>where </em><em>n </em><em>is </em><em>positive</em><em> </em><em>integer</em><em> </em><em>and </em><em>the </em><em>coefficients</em><em> </em><em>a0,</em><em>a1,</em><em>A2.</em><em>.</em><em>.</em><em>an </em><em>are </em><em>constants </em><em>with </em><em>a </em><em>n </em><em>is </em><em>not </em><em>equal </em><em>to </em><em>0</em><em> </em><em>is </em><em>called </em><em>a </em><em>polynomial</em><em> </em><em>of </em><em> </em><em>degree.A </em><em>polynomial</em><em> </em><em>in </em><em>X </em><em>is </em><em>denoted </em><em>by </em><em>p(</em><em>X)</em><em>,</em><em>q(</em><em>X)</em><em>,</em><em>g(</em><em>X)</em><em>.</em>

<h2><em>Types </em><em>of </em><em>Polynomial:</em></h2>
  • <em>Monomial</em>

<em>A monomial is an expression which contains only one </em><em>term.For </em><em>example:</em><em> </em><em>5</em><em>x</em>

  • <em>Binomial</em>

<em> </em><em>A binomial is a polynomial expression which contains exactly two </em><em>terms.For </em><em>example:</em><em>2</em><em>a</em><em>+</em><em>3</em><em>b</em>

  • <em>Trinomial</em>

<em>A trinomial is an expression which is composed of exactly three </em><em>terms.For </em><em>example</em><em>:</em><em>2</em><em>x</em><em>^</em><em>2</em><em>+</em><em>4</em><em>x</em><em>+</em><em>4</em>

<h2><em>Hope </em><em>it</em><em> </em><em>helps</em></h2>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>

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Answer: it the area of it

Step-by-step explanation:

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3 years ago
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Michael can buy 4 sandwiches and 3 cups of coffee for $23.75. Amy can buy 2 sandwhiches and 5 cups of coffee for $19.75 how much
Kobotan [32]

Answer: The cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.

Step-by-step explanation:

Let x be the cost of one sandwich and y be the cost of one cup of coffee.

By considering the given situation, we have the following equations :-

4x+3y=23.75.................(1)\\\\2x+5y=19.75................(2)

Multiply 2 on both sides of equation (2) , we get

4x+10y=39.5................(3)

Subtract equation (1) from equation (3), we get

7y=15.75\\\\\Rightarrow\ y=\dfrac{15.75}{7}=2.25

Put value of y in (1), we get

4x+3(2.25)=23.75\\\\\Rightarrow\ 4x+6.75=23.75\\\\\Rightarrow\ 4x =17\\\\\Rightarrow\ x=4.25

Hence, the cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.

8 0
2 years ago
A livestock company reports that the mean weight of a group of young steers is 1143 pounds with a standard deviation of 88 pound
malfutka [58]

Answer:

<em>a) P(x<1200)=74.14%</em>

<em>b) P(1100<X<1250)=57.54%</em>

Step-by-step explanation:

<u>Normal Distribution</u>

The normal distribution, also known as the bell curve, is a distribution that occurs naturally in many situations of life. We use the model N(\mu,\sigma) to understand the behavior of some real-life variables. Where \mu is the mean value and \sigma is the standard deviation.

In our case, we have

\mu=1143,\ \sigma=88

And are required to find the percentage of steers whose weigh lie within a given range. We must use some sort of table or digital means to compute the values because the normal distribution cannot be calculated directly by a formula. We use the NORMDIST (or NORM.DIST) formula for Excel which gives us the left tail of the area behind the bell curve, i.e. the cumulative percentage for a give value of X. The formula has the form

NORM.DIST(x,mean,standard_dev,cumulative)

a) X<1200

The formula is used with the following parameters

NORM.DIST(1200,1143,88,true)

and we get

P(X

b) We need to compute P(1100<X<1250). To do this, we calculate both left tails and the subtract them

NORM.DIST(1100,1143,88,true)=0.3125

NORM.DIST(1250,1143,88,true)=0.8880

P(1100

\boxed{P(1100

6 0
2 years ago
The Red Mills Children's Hospital has raised 70% of the money they need for medical supplies. If they need a total of $900, how
borishaifa [10]

Answer:

$630

Step-by-step explanation:

They raised 70% of $900.

70% of $900 = 70% × $900 = 0.7 × $900 = $630

3 0
1 year ago
If there are 20 pencils and 5 students write as a ratio for pencils to students in 3 ways below
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20:5
20
--
5

20 of 5
These are the answers to the question

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3 years ago
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