Given:
Polynomials
To find:
Monomial of 2nd degree with leading coefficient 3
Solution:
Monomial is an algebraic expression with only one term.
Option A: [tex]3 n^{2}-1[/tex]
It is not a monomial because it have 2 terms.
It is not true.
Option B: [tex]3 n-n^{2}[/tex]
It is not a monomial because it have 2 terms.
It is not true.
Option C: [tex]3 n^{2}[/tex]
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: [tex]2n^3[/tex]
It have one term only. So, it is a monomial.
Degree means highest power. So degree = 3
It is not true.
Therefore [tex]3 n^{2}[/tex] is a monomial of 2nd degree with a leading coefficient of 3.
