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Zolol [24]
3 years ago
5

Identify the name and label the parts of the following polynomial: − 2x^4+24^2-10

Mathematics
1 answer:
lianna [129]3 years ago
7 0
-2x^4 + 24x^2 - 10

u have 3 terms.....and since u are only dealing with 1 variable with the highest exponent being 4, then what u have here is a 4th degree trinomial.
U have a lead coefficient of -2.
Ur constant term is -10
And ur middle term (24x^2) has a degree of 2

a cubic binomial.....a binomial has 2 terms and it being cubic means the highest term has a degree of 3
example would be : x^3 - 4

how many constants can a polynomial have ? I am not sure about this one...I wanna say 1 because u can simplify it if it has more then 1...but I am not 100% sure on this one

3x^2 + 6xy -10x^5 + y^6 - 10x^3y^5

when u have a polynomial with more then 1 variable, such as this one, the degree is not the highest exponent, it is the highest term.....-10x^3y^5...u add the exponents....so this term has a degree of 8, and it is the highest one in this problem....so this is an 8th degree polynomial with 5 terms


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<h2>            <u>Rectangular</u> <u>Areas</u> <u>and</u> <u>Perimeters</u></h2>

The perimeter of a rectangle is given by:

\boxed{\bold{Perimeter = 2 (length + width)}}

In the problem we have these data:

  • Length = a
  • Width = -2x + 20
  • Perimeter = 6 + 2 (-2x + 20)

We replace the data in the equation of the perimeter:

<h3>6 + 2 (-2x + 20) = 2 (a - 2x + 20) </h3>

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The area of ​​the rectangle is given by:

\boxed{\bold{Area = 2 (length + width)}}

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<h3>Area = (3) (- 2x + 20) </h3>

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Midpoint of the segment between the points (−5,13) and (6,4)
Leokris [45]

Answer: (0.5,8.5)

Step-by-step explanation:

We need to use the following formula to find the Midpoint "M":

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Given the points (-5,13) and (6,4) can identify that:

x_1=-5\\x_2=6\\\\y_1=13\\y_2=4

The final step is to substitute values into the formula.

Therefore, the midpoint of the segment between the points (-5,13) and (6,4) is:

M=(\frac{-5+6}{2},\frac{13+4}{2})\\\\M=(\frac{1}{2},\frac{17}{2})\\\\M=(0.5,8.5)

6 0
3 years ago
Read 2 more answers
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Scrat [10]

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bearhunter [10]

Answer:

x<1

Step-by-step explanation:

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