Question

Add 3x, 7x.

Answer 1

Hint: In the given question we are given two polynomials and we need to add them. Also, from the observation we can say that the given polynomials are linear in nature. While adding polynomials we need to add the coefficients of terms with the same degree of the variable.

Complete step by step answer:
According to the given question we are given two polynomials which are linear in nature and we need to add them. Also, we know that the polynomial is an expression that consists of variables and coefficients where variables are also called the indeterminates. Polynomials also involve the addition, subtraction, multiplication and non-negative exponentiation of variables.
In the given question we can clearly see that the first polynomial consists of one term 3x i.e., the coefficient is 3 and variable is x and similarly the second polynomial is 7x where coefficient is 7 and the variable is x. Now, since the variables are the same therefore, we can easily add them.
Now, for adding two variables as told before we need to add the coefficients of the same variable with the same degree and hence, we attain the solution.
Therefore, in order to add these two variables, we will add the coefficients 3 and 7 of variable x and hence the sum will be 10x.
Therefore, the sum of 3x and 7x is 10x.

Note: According to the question we need to keep in mind the procedure of how to add the polynomials and then try to avoid the calculation mistakes and hence we will get our answer. Also, we can directly do the calculations if all the terms of the polynomial are of the same degree.