Question

Fill in the blanks.
A polygon of degree $1$ is called a _ _ _ _ _ _ _ _ _ polynomial.

Answer 1

Hint: A polynomial is an expression that is made up of variables and coefficients, involving the different mathematical operation like addition, subtraction, multiplication and division. The degree of a polynomial is the highest power to which the variable or variables are raised in a polynomial.

Complete step-by-step solution:
A polynomial, can sometimes contain only one variable with different powers or have different variables with different powers. If a polynomial contains only one variable then it is called as a polynomial of one variable. For example, $a{x^n} + bx + c$ is a polynomial of one variable.
If a polynomial has more than one variable (suppose $2$) then it is called a polynomial of two variables. For example, $ax + by + c$ is a polynomial of two variables that is $x$ and $y$.
Now, we can also classify polynomials on the basis of the highest power of the variable or variables in the polynomial, whether there is just one or more than one variable.
A polynomial which has a variable or variables whose highest power is $1$, that is their degree is $1$, is called a linear polynomial.
If the given polynomial has only one variable and whose highest power is $1$, then it is a linear polynomial of one variable. for example: $ax + b$ and $ay + b$ are a linear polynomial with the variable $x$ and $y$ respectively.
If the given polynomial has two variables and the highest power of both variables are $1$, then it is a linear polynomial of two variables. For example: $ax + by + c$ is a linear polynomial of two variables $x$ and $y$.

Thus, A polynomial of degree $1$ is called a linear polynomial.

Note: A polynomial of degree $2$ is called a quadratic polynomial while a polynomial of degree $3$ is called a cubic polynomial. A polynomial of degree $4$ is called a biquadratic polynomial.