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ANSWER

[tex] {x}^{3} - 3 {x}^{2} + 2x - 5[/tex]

is the third degree polynomial.

EXPLANATION

The third degree polynomial has the highest degree to be 3.

All the polynomials were written in standard form.

[tex]2x - 5[/tex]

is a first degree polynomial.

[tex]3 {x}^{2} + 2x - 5[/tex]

is a second degree polynomial .

[tex] {x}^{3} - 3 {x}^{2} + 2x - 5[/tex]

is a third degree polynomial.

[tex]5 {x}^{4} + {x}^{3} - 3 {x}^{2} + 2x - 5[/tex]

is a fourth degree polynomial.

Answer:

[tex]x^3-3x^2+2x-5[/tex]

Step-by-step explanation:

Since, the degree of a polynomial is the highest power of its monomial with non zero coefficient,

In the polynomial 2x - 5,

The highest power is 1,

So, its degree is 1,

In the polynomial [tex]3x^2+2x-5[/tex],

The highest power is 2,

So, its degree is 2,

In the polynomial [tex]x^3-3x^2+2x-5[/tex],

The highest power is 3,

So, its degree is 3,

In the polynomial [tex]5x^4+x^3-3x^2+2x-5[/tex]

The highest power is 4,

So, its degree is 4.

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