Question

Which algebraic expression is a polynomial with a degree of 3?

Answer 1

Answer:

it's b

Step-by-step explanation:

Answer 2

Option a: $4x^{3} -\frac{2}{x}$

Option b: $2y^{3} +5y^{2} -5y$

Option c: $3y^{3} -\sqrt{4y}$

Explanation:

The highest degree of a polynomial is the largest exponent of that variable.

Now, we shall determine the polynomial with degree 3.

Option a: $4x^{3} -\frac{2}{x}$

From the expression $4x^{3} -\frac{2}{x}$, the highest degree of the polynomial is 3.

Hence, $4x^{3} -\frac{2}{x}$ is a polynomial with a degree of 3.

Hence, Option a is the correct answer.

Option b: $2y^{3} +5y^{2} -5y$

From the expression $2y^{3} +5y^{2} -5y$, the highest degree of the polynomial is 3.

Hence, $2y^{3} +5y^{2} -5y$ is a polynomial with a degree of 3.

Hence, Option b is the correct answer.

Option c: $3y^{3} -\sqrt{4y}$

From the expression $3y^{3} -\sqrt{4y}$, the highest degree of the polynomial is 3.

Hence, $3y^{3} -\sqrt{4y}$ is a polynomial with a degree of 3.

Hence, Option c is the correct answer.

Option d: $-xy\sqrt{6}$

From the expression $-xy\sqrt{6}$, the highest degree of the polynomial is 1.

Hence, $-xy\sqrt{6}$ is a polynomial with degree 1.

Hence, Option d is not the correct answer.