Classify the following as a constant, linear, quadratic, and cubic polynomials:
$1 + x + x^{2}$

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Solution

Classification of the polynomials.
The highest power of the variable in the given polynomial is known as the degree of the equation.
If the degree of the polynomial is zero. Then, the polynomial will be constant.
If the degree of the polynomial is $1$ . Then, the polynomial will be linear.
If the degree of the polynomial is $2$ . Then, the polynomial will be quadratic.
If the degree of the polynomial is $3$ . Then, the polynomial will be cubic.
The degree of the given polynomial $1 + x + x^{2}$ is $2$ .
Hence, the given polynomial is a quadratic polynomial.

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