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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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Answer:

\left\{\begin{array}{ccc}(A+L)x+(B+M)y=C+N\\Ax+By=C\end{array}\right

<h3>A.The first equation in System 2 is the sum of the equations in System 1. The second equation in System 2 is the first equation in System 1.</h3>

Step-by-step explanation:

\underline{+\left\{\begin{array}{ccc}Ax+By=C\\Lx+My=N\end{array}\right}\qquad\text{add both sides of the equations}\\(Ax+Lx)+(By+My)=C+N\qquad\text{distributive}\\(A+L)x+(B+M)y=C+N

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GarryVolchara [31]

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m of AB using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = A(6, 2) and (x₂, y₂ ) = B(- 3, 2)

m = \frac{2-2}{-3-6} = \frac{0}{-9} = 0

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Thus a line perpendicular to AB is a vertical line parallel to the y- axis.

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The base of a triangle is shrinking at a rate of 1cm/min and the height if the triangle is increasing at a rate of 5cm/min. Find
lapo4ka [179]

Answer: Rate of change of Area of the triangle = 2.75cm~/min

Step-by-step explanation:

If the present height of the triangle is 22cm and the height increases by 5cm/min. It means the height was 2cm four minutes earlier: 5cm for 1st min + 5cm for 2nd min + 5cm for 3rd min + 5cm for 4th min = 20cm after 4min.

Therefore height equals 22 - 20 = 2cm four minutes earlier.

Using the same four minutes for the base. Since the base shrinks at 1cm/min, for the base to shrink to 10cm it means it was 14cm four minutes earlier.

The Area of a triangle is given by

A = 1/2 × base × height

Therefore Area= 1/2× 10×22 = 110cm~

Since it took four minutes to get to this area, the rate of change of the area will be 110÷4 = 2.75cm~/min

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A line with a slope of -2 passes through the point (3,-1) which of the following is the equation of the line?
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