Respuesta :

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Answer:

Step-by-step explanation:

PART A:  2x^5 + 3x^2-3

It is a fifth degree polynomial because, the highest degree is 5 and it is in the standard form since, the polynomial is written in descending order i.e, from highest degree to the least

part B:

Closure property is  applicable to the subtraction of polynomials.

for example 2x^4+2x^2-5 is a polynomial and 2x^3+2x+2 is also a polynomial.

if we subtract these two polynomials, the outcome

2x^4-2x^3+2x^2-2x-7 is also a polynomial

bekkarmahdi702

Step-by-step explanation:

  • Part A

The fifth degree polynomial

x^5 + x^4 +3x²+4x+9

the three terms 3x², 4x and 9 are forming a second degree polynomial written in standard form

since it has this form :  ax²+bx+c

  • a=3
  • b=4
  • c=9

  • Part B

The closure property for real numbers means that the sum oe the substraction of two real numbers  

The substraction of two polynomials is a polynom using the closure property

  • The nature remains the same

Here is an example :

  • 3x²+5x+8 and x²+x+1

calculate the substraction

  • 3x²+5x+8-(x²+x+1)
  • 3x²+5x+8-x²-x-1
  • 2x²+4x+7

The result is a polynomial

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