Question

Choose the third degree polynomial. 2x-5 3x2+2x-5 x3-3x2+2x-5 5x4+x3-3x2+2x-5

Answer 1

`x^3-3x^2+2x-5`

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
`3x^2+2x-5`,

The highest power is 2,

So, its degree is 2,

In the polynomial
`x^3-3x^2+2x-5`,

The highest power is 3,

So, its degree is 3,

In the polynomial
`5x^4+x^3-3x^2+2x-5`

The highest power is 4,

So, its degree is 4.

Answer 2

`{x}^(3) - 3 {x}^(2) + 2x - 5`

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.

`2x - 5`

is a first degree polynomial.

`3 {x}^(2) + 2x - 5`

is a second degree polynomial .

`{x}^(3) - 3 {x}^(2) + 2x - 5`

is a third degree polynomial.

`5 {x}^(4) + {x}^(3) - 3 {x}^(2) + 2x - 5`

is a fourth degree polynomial.