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NISA [10]
3 years ago
15

Classify the polynomial by its degree and by the number of terms. 17n^5-n^4

Mathematics
2 answers:
Sladkaya [172]3 years ago
7 0
5th degree binomial is the answer.
mina [271]3 years ago
4 0
Answer: 5th degree binomial

Note: You can say it's a quintic binomial but I find its easier to go with "5th degree" instead of "quintic" 

------------------------------------------------

How to get this answer:
The degree is the largest exponent for single variable polynomials such as this one. We see that 5 is the largest exponent, so the degree is 5. We consider this a quintic polynomial (think "quintuplets" which is how I remember). Though to be fair, the term "quintic" isn't used too much. Any degree larger than 4 you just state the number followed by "st", "nd", or "th" which is easiest I think. 

This is a binomial because it has 2 terms. The terms are separated by a minus sign or subtraction sign. We can think of it as adding a negative
17n^5 - n^4 = 17n^5 + (-n^4)
The two terms 17n^5 and -n^4 are separated by a plus sign. 
In general, terms of a polynomial are separated by either a plus sign or a minus sign. 
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Answer:

Step-by-step explanation:

1.

cot x sec⁴ x = cot x+2 tan x +tan³x

L.H.S = cot x sec⁴x

       =cot x (sec²x)²

       =cot x (1+tan²x)²     [ ∵ sec²x=1+tan²x]

       =  cot x(1+ 2 tan²x +tan⁴x)

       =cot x+ 2 cot x tan²x+cot x tan⁴x

        =cot x +2 tan x + tan³x        [ ∵cot x tan x =\frac{ \textrm{tan x }}{\textrm{tan x}} =1]

       =R.H.S

2.

(sin x)(tan x cos x - cot x cos x)=1-2 cos²x

 L.H.S =(sin x)(tan x cos x - cot x cos x)

          = sin x tan x cos x - sin x cot x cos x

           =\textrm{sin x cos x }\times\frac{\textrm{sin x}}{\textrm{cos x} } - \textrm{sinx}\times\frac{\textrm{cos x}}{\textrm{sin x}}\times \textrm{cos x}

           = sin²x -cos²x

           =1-cos²x-cos²x

           =1-2 cos²x

           =R.H.S

         

3.

1+ sec²x sin²x =sec²x

L.H.S =1+ sec²x sin²x

         =1+\frac{{sin^2x}}{cos^2x}                       [\textrm{sec x}=\frac{1}{\textrm{cos x}}]

         =1+tan²x                        [\frac{\textrm{sin x}}{\textrm{cos x}} = \textrm{tan x}]

         =sec²x

        =R.H.S

4.

\frac{\textrm{sinx}}{\textrm{1-cos x}} +\frac{\textrm{sinx}}{\textrm{1+cos x}} = \textrm{2 csc x}

L.H.S=\frac{\textrm{sinx}}{\textrm{1-cos x}} +\frac{\textrm{sinx}}{\textrm{1+cos x}}

       =\frac{\textrm{sinx(1+cos x)+{\textrm{sinx(1-cos x)}}}}{\textrm{(1-cos x)\textrm{(1+cos x})}}

      =\frac{\textrm{sinx+sin xcos x+{\textrm{sinx-sin xcos x}}}}{{(1-cos ^2x)}}

     =\frac{\textrm{2sin x}}{sin^2 x}

      = 2 csc x

    = R.H.S

5.

-tan²x + sec²x=1

L.H.S=-tan²x + sec²x

        = sec²x-tan²x

        =\frac{1}{cos^2x} -\frac{sin^2x}{cos^2x}

        =\frac{1- sin^2x}{cos^2x}

        =\frac{cos^2x}{cos^2x}

        =1

     

       

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Alex_Xolod [135]

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<h3>How to determine the probability?</h3>

The probability that the cat lands on its feet is given as:

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P = P(Feet) * P(Feet)

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P = 0.85

Hence, the probability is 0.85

Read more about probability at

brainly.com/question/251701

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6 0
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