Question

A monomial of the 2nd degree with a leading coefficient of 3

Answer 1

Given:

Polynomials

To find:

Monomial of 2nd degree with leading coefficient 3

Solution:

Monomial is an algebraic expression with only one term.

Option A: $3 n^{2}-1$

It is not a monomial because it have 2 terms.

It is not true.

Option B: $3 n-n^{2}$

It is not a monomial because it have 2 terms.

It is not true.

Option C: $3 n^{2}$

It have one term only. So, it is a monomial.

Degree means highest power. So degree = 2

Leading coefficient means the value before variable.

Leading coefficient = 3

It is true.

Option D: $2n^3$

It have one term only. So, it is a monomial.

Degree means highest power. So degree = 3

It is not true.

Therefore $3 n^{2}$ is a monomial of 2nd degree with a leading coefficient of 3.