Question

Degree of the polynomial p(x)= ( x+2)×( x-2) is

Answer 1

p(x)=(x+2)x(x-2)

=degree (x^2-2^2)
x^2-4
then
degree is 2

so answer is 2

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Answer 2

Degree of the polynomial p(x) = (x + 2) × (x - 2) is 2

Given :

The polynomial p(x) = (x + 2) × (x - 2)

To find :

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

Here the given polynomial is

p(x) = (x + 2) × (x - 2)

Step 2 of 3 :

Simplify the given polynomial

p(x) = (x + 2) × (x - 2)

⇒ p(x) = x² - 2²

⇒ p(x) = x² - 4

Step 3 of 3 :

Find degree of the polynomial

p(x) = x² - 4

The variable is x

Now the highest power of its variable that appears with nonzero coefficient is 2

Hence degree of the polynomial = 2

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