#### Answer

Standard form: $2a^3-5a^2-2a+5$
Degree = 3
Number of terms = 4
Thus, the polynomial is a cubic polynomial.

#### Work Step by Step

Multiply the binomials by distributing each term of the first factor to the other factor:
$2a(a^2-1)-5(a^2-1)
\\=2a^3-2a-5a^2+5
\\=2a^3-5a^2-2a+5$.
The polynomial has degree 3 and has four terms.
Thus, the polynomial is a cubic polynomial.