Question

Which polynomial is a quintic binomial?

• A. ${\mathrm{x}}^4-2{\mathrm{x}}^3-{\mathrm{x}}^2+7\mathrm{x}+11$
• B. ${\mathrm{x}}^2+4\mathrm{x}$
• C. $3{\mathrm{x}}^5+2$
• D. $5{\mathrm{x}}^2-2\mathrm{x}+1$

Answer 1

The correct option is C

$3{\mathrm{x}}^5+2$

Explanation of the correct option:

Option C:

A polynomial of fifth-degree is called a quintic binomial.

So based on the question only$3{\mathrm{x}}^5+2$, which is a polynomial of degree$5$

Thus the polynomial $3{\mathrm{x}}^5+2$ is a quintic binomial.

So, the correct option is option C.

Thus, option C is the correct answer.

Explanation of the incorrect options:

Option A:

The polynomial ${\mathrm{x}}^4-2{\mathrm{x}}^3-{\mathrm{x}}^2+7\mathrm{x}+11$ is a polynomial of degree $4.$ And a fourth-degree polynomial is called a bi-quadratic polynomial.

So, option A is the incorrect option.

Option B:

The polynomial ${\mathrm{x}}^2+4\mathrm{x}$ is a polynomial of degree $2.$A second-degree polynomial is called a quadratic polynomial.

So, option B is the incorrect option.

Option D:

The polynomial $5{\mathrm{x}}^2-2\mathrm{x}+1$ is a polynomial of degree $2.$The second-degree polynomial is called a quadratic polynomial.

So, option D is the incorrect option.

Hence from the obtained information, only option C is correct.

Thus, option C is the correct option.