Question

Determine the degree of each of the following polynomials:
$y^2(1-y^2)$

Answer 1

Finding the degree of the polynomial:
The highest or greatest degree of a variable in a polynomial is called the degree of a polynomial.

A polynomial’s degree is the highest or the greatest power of a variable in a polynomial equation.

The degree indicates the highest exponential power in the polynomial (ignoring the coefficients).

By using the distributive property the polynomial can be expressed as

$y^2(1-y^2)=y^2-y^4$

The highest power of the variable $y$ in $y^2-y^4$$=4$

Hence, the degree of the polynomial $y^2(1-y^2)$ is $4$