Step-by-step explanation:
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
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 :
calculate the substraction
- 3x²+5x+8-(x²+x+1)
- 3x²+5x+8-x²-x-1
- 2x²+4x+7
The result is a polynomial