Question

Find the degree of the polynomial(x2 - 5)(x3 + 1).​

Answer 1

The degree of the polynomial (x² - 5)(x³ + 1) is 5

Given :

The polynomial (x² - 5)(x³ + 1)

To find :

The degree of the polynomial

Concept :

Degree of a polynomial :

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

Solution :

Step 1 of 3 :

Write down the given polynomial

The given polynomial is

(x² - 5)(x³ + 1)

Step 2 of 3 :

Simplify the given polynomial

$\sf ( {x}^{2} - 5)( {x}^{3} + 1)$

$\sf = {x}^{5} - 5 {x}^{3} + {x}^{2} - 5$

Step 3 of 3 :

Find degree of the polynomial

The variable is x

Now the highest power of its variable that appears with nonzero coefficient is 5

Hence degree of the polynomial = 5

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