Question

How do you add two polynomials?

Answer 1

Hint: In order to write this type of solution we really need to know all the terms related to polynomial. Then we can say that to add the polynomials we just have to add the like terms. There can be more than 2 or 3 polynomials to be added. But we will keep the method as add the like terms. Addition of polynomials is also a polynomial.

Complete step by step solution:
We will get the idea of this question with the help of examples.
Add \[2x + 3y\] and \[9x - 2y\]
Method 1:
Now in this type of example we either can do the addition in mind and directly write the answer or can write the terms one below the other with the like terms as shown below.

\[2x + 3y\]

$(+)\,\, $\[ 9x - 2y\]

\[11x + y\]

This is a way. Let us solve it in one more way.
Method 2:
Write the polynomials.
\[2x + 3y + 9x - 2y\]
Now take the like terms together.
\[2x + 9x + 3y - 2y\]
Now just add the constants of like terms.
\[11x + y\]

Additional information:
Polynomial: it is defined as an algebraic expression of two or more terms in it. It has constants and variables. Degree of polynomial is the greatest power of variables present in the polynomial. A constant can also be written as polynomial with degree zero. An expression that contains the terms like \[\dfrac{1}{x},\dfrac{{{x^2}}}{y}\] etc. is not a polynomial

Note:
Note that we have taken an example of a binomial here. But when we add polynomial we follow the same steps or procedure.
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