Find the degree of the polynomial $( x + 1)( x^2-x-x^4+1)$.
Given: Polynomial $( x + 1)( x^2-x-x^4+1)$.
To do: To find the degree of the given polynomial.
Solution:
$\Rightarrow (x+1)(x^2-x-x^4+1)$
$\Rightarrow (x^3-x^2-x^5+x+x^2-x-x^4+1)$
$\Rightarrow (x^3-x^5-x^4+1)$
The highest power of a equation is called degree.
Therefore, the degree of the polynomial is $5$.
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