Question

Degree of the polynomial (x² - 5)(x² + 1) is​

Answer 1

Answer:

4 is the correct answer.

Answer 2

Answer:

The degree of the given polynomial is $4$.

Step-by-step explanation:

Given : The polynomial is $(x^{2} -5)(x^{2} +1)$.

To find : The degree of the polynomial = ?

Solution :

• The given polynomial is $(x^{2} -5)(x^{2} +1)$.
• We have to find the degree of the polynomial.
• We know that, degree of the polynomial is the highest power of the variable in the polynomial.
• The given polynomial is,

     $(x^{2} -5)(x^{2} +1)$ $= x^{4} +x^{2} -5x^{2} -5$

• Here, we can see that highest power of variable, $x$ is $4$.
• ∴ The degree of the given polynomial is $4$.