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Polynomial Not a polynomial

Step-by-step explanation:

1.  This is not a polynomial because the polynomial can not be in fraction

2. This a polynomial because the power of the variable (x) is in whole number

3.  This not a polynomial because the power of the variable(x) is in whole number

4.  -x^5+7x-x²/2+9

(-2x^5+14x-x²+9)÷2 = 0

-2x^5 - x² + 14x + 9 = 0×2

-2x^5 - x² + 14x + 9 = 0

Therefore this a polynomial because the power of the variable(x) is in whole number

5.   x^4 + (5 ÷ x²)-√z + 8

x^4 + (5 ÷ x²)-z^1/2 + 8

Therefore this is not a polynomial because the power of the variable (z) is not in a whole number  

6.  x^4+x³√7+2x²-(√3x/2)+π

x^4+x³ (7)^1/2+2x²-(3^1/2x/2)+π

Therefore ,this is not a polynomial because the power of the 7 and 3 is not in a whole number and the polynomial includes π

Polynomial

x³ - 4x - 3

-x^5 + 7x - (1/2)x² + 9

x^4 + x³√7 + 2x² - (√3/2)x + π

Not a polynomial

|x|² + 4√x -2

x^4 + 5/(x³) - √x + 8

Step-by-step explanation:

A polynomial is a math expression where variables (like x or y) have natural exponents (like 1, 2, 3, etc.) and can have constants (like 2, 5 or 2/3). The variables can be combined using addition, subtraction and multiplication, but the variable cannot be dividing, or having a negative or a fractional exponent.