Question

Which of the following polynomials has the highest degree?

• A. $2x^4+1$
• B. $4x^3+2x^2+x+1$
• C. $4x^2+2x+1$
• D. $5x^3+2x^2+1$

Answer 1

The correct option is A $2x^4+1$

The degree of a polynomial is the largest exponent on its variable.

$4x^2+2x+1\text{has a degree of 2.}$
$5x^3+2x^2+1\text{has a degree of 3.}$

$4x^3+2x^2+x+1\text{has a degree}\text{of 3.}$

$2x^4+1\text{has a degree of 4.}$

$\text{So,}(2x^4+1),\text{has the highest degree.}$