Question

For the following polynomial expression, find its number of terms and degree:

Answer 1

• Number of terms: 4

,

• Degree: 3

Explanation:

Given the polynomial:

`8x^3y^2+3x^2y^2+2xy-y`

(a)The terms in the polynomial are:

`\begin{gathered} 8x^3y^2 \\ 3x^2y^2 \\ 2xy \\ -y \end{gathered}`

Therefore, the number of terms in the polynomial is 4.

(b)The degree of the polynomial is the highest power of the variables in the polynomial.

• The highest power = 3

Therefore, the degree of the polynomial is 3.