Question

What is the degree of the algebraic expression,
$x^3{y}^2-6x^2{y}^5+x^4{y}^4-8x{y}^6+5x^{3}y$ ?

• A. 5
• B. 7
• C. 8
• D. 4

Answer 1

The correct option is C 8

The highest of the degrees of all the terms of an expression is called the degree of the expression.
In the given expression,
$x^3{y}^2-6x^2{y}^5+x^4{y}^4-8x{y}^6+5x^{3}y$
the degree of the term $x^3{y}^2$ is 3 + 2 = 5,
the degree of the term $-6x^2{y}^5$ is 2 + 5 = 7,
the degree of the term $x^4{y}^4$ is 4 + 4 = 8,
the degree of the term $-8x{y}^6$ is 1 + 6 = 7,
the degree of the term $5x^{3}y$ is 3 + 1 = 4,
So, the highest degree of the expression is 8.