Question

The sum of two polynomials is ​

Answer 1

Answer:

A polynomial is a sum of some powers of a certain variable, with some coefficient to multiply each power.

Step-by-step explanation:

Summing two polynomials simply means to sum the coefficients of the same powers, if this situations occur.

the result of adding two polynomials will always be another polynomial.

Answer 2

The sum of two polynomials is ​a polynomial.

Explanation:

• A polynomial is a mathematical expression consisting of variables, constants, exponents joined together with the help of mathematical operations. For example: $2x^{2} +5x+ 3$, $2y$, $5x^{4} + 3x^{3}-2x^{2} - 9$ etc.
• When we add two polynomials, the resulting sum consists of the same terms of two polynomials combined together which in turn, becomes another polynomial. For example:

       ⇒ $(5x^{2} -2x+4)+ (2x^{3} -3x^{2} +4x-8)$

       ⇒ $2x^{3} +5x^{2}-3x^{2} +4x -2x+4 -8$

       ⇒ $2x^{3} +2x^{2} +2x-4$

       ⇒ $2(x^{3} +x^{2} +x-2)$

• We know,  $2(x^{3} +x^{2} +x-2)$  is also a polynomial.

Hence, The sum of two polynomials is ​a polynomial.