Question

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

Answer 1

Answer:

$x^3-3x^2+2x-5$

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

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

ANSWER

${x}^{3} - 3 {x}^{2} + 2x - 5$

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.