Question

write the degree of the product of the binomials.
( 2 x cube + 1 ) (x square - 1 )​

Answer 1

$\textbf{Concept used:}$

$\textbf{Degree}$

$\text{The degree of a polynomial is the highest power of the }$

$\text{variable occurs in the polynomial}$

$\textbf{Given:}$

$(2x^3+1)(x^2-1)$

$\text{Expanding by term by multiplication, we have}$

$=2x^5-2x^3+x^2-1$

$\text{It is clear that, the highest power the variable is 5}$

$\therefore\textbf{The degree of (2x^3+1)(x^2-1) is 5}$