Question

Enter the degree of the polynomial below.

7x7 + 10x4 + 4x3 - 5x11 - 10x6 - 6x7

A. 6
B. 7
C. 11
D. 10 ...?

Answer 1

degree of the polynomial is 11.

C is the correct option.

Explanation:

We have been given the polynomial

`7x^7+10x^4+4x^3-5x^(11)-10x^6-6x^7`

Rewrite this polynomial in standard form i.e from descending exponents

`-5x^(11)-6x^7+7x^7-10x^6+10x^4+4x^3`

On simplifying, we get

`-5x^(11)+x^7-10x^6+10x^4+4x^3`

Now, we know that the degree of the polynomial is the highest exponent.

Here, the highest exponent is 11.

Therefore, the degree of the polynomial is 11.

C is the correct option.

Answer 2

I bet, you can define it by the highest degree number. So the answer is C. 11