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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Updated on: 10-Oct-2022

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