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amid [387]
3 years ago
12

Describe polynomial and its type with examples

Mathematics
2 answers:
KonstantinChe [14]3 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.

Maslowich3 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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3n t 4=7 how to solve this
77julia77 [94]
7/12n is the answer to your question

7 0
3 years ago
Margaret deposits $1,000 in a savings account that pays 1.4% interest compounded
ozzi

Answer:

The balance after 1 year is;

$1,014.05

Step-by-step explanation:

To do this, we use the compound interest formula

That will be ;

A =P (1 + r/n)^nt

A is the amount generated which we want to calculate

r is the rate = 1.4% = 0.014

P is the amount deposited = $1,000

n is the number of times it is compounded annually which is 2 (semi-annually means 2 times in a year)

this the number of years which is 1

we have this as:

A = 1,000( 1 + 0.014/2)^(2*1)

A = 1,000(1 + 0.007)^2

A = 1,000(1.007)^2

A = $1,014.05

8 0
3 years ago
Kate has a rectangular garden that is 8 feet long by 3 feet wide. She wishes to extend the length and width by the same amount i
elena55 [62]
<span>Let the extension of the length and width be x.
 The new dimensions are: Length = 8+x
  Width =3+x
 Area = 104 ft squared
 Area of a rectangle = Length x Width
 Therefore,
(8+x)(3+x) = 104
 x^2 +11x +24=104
 x^2 +11x +24-104=0
 x^2 +11x-80=0

 Factorize using splitting the middle term method. X^2 +16x-5x-80=0 x(x+16)-5(x+16)=0 (x-5)(x+16)=0 either x-5 = 0 or x+16=0 x=5 or x=-16 length and width measure cannot be negative. Therefore, the extension of the length and width is 5 feet each.</span>
4 0
3 years ago
What is one root of this equation?<br><br> 2x^-4x+9=0
Nutka1998 [239]

9514 1404 393

Answer:

  1 +i√3.5

Step-by-step explanation:

In vertex form, the equation is ...

  2(x² -2x +1) +7 = 0

  2(x -1)² +7 = 0

Then the solutions are ...

  (x -1)² = -7/2

  x = 1 ±i√3.5

One solution is 1+i√3.5.

3 0
2 years ago
A group of friends spent 52.50$ on 6 movie tickets. Write an equation to represent the cost, c, per movie ticket, t.
Dovator [93]

Answer: 8.75t = c

Step-by-step explanation: 52.5/6 = 8.75 so 8.75$ per ticket.

5 0
3 years ago
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