Savion Cameron

Answered

2022-12-18

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. $5{\mathrm{x}}^{2}-2\mathrm{x}+1$

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 & Explanation

Kali Bates

Expert

2022-12-19Added 6 answers

Solution

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.

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.

Most Popular Questions