Question

What is the degree of the polynomial in the expression below?

2x7 + 4 - 3x3 + 5x8 - 4x

A. 2
B. 7
C. 8
D. 5

Answer 1

C. 8

Explanation:

We know that,

The degree of a one variable polynomial is the highest power of its monomials with non-zero coefficients.

Here, the given polynomial is,

`2x^7 + 4 - 3x^3 + 5x^8 - 4x`

By examining this polynomial,

We found that, the highest power of x is 8,

Hence, the degree of the given polynomial is 8.

Option C is correct.

Answer 2

In order to know the degree of the polynomial of a given expression, look for the variable having the largest exponent. So in the given polynomial above, the largest exponent is 8. Therefore, the polynomial has a degree of 8. So the answer would be option C. Hope this answer helps.