# What is the true about the sum of two polynomials?

## What is the true about the sum of two polynomials?

What is true about the sum of the two polynomials? The sum is a trinomial with a degree of 2.

## Which is true about the completely simplified difference of the polynomials a3b 9a2b2 − 4ab5 and a3b − 3a2b2 ab5?

Which is true about the completely simplified difference of the polynomials a3b + 9a2b2 − 4ab5 and a3b − 3a2b2 + ab5? The difference is a binomial with a degree of 6.

## What is the sum of two polynomials?

Summing two polynomials simply means to sum the coefficients of the same powers, if this situations occour. At this point, you simply need to notice that: The constant term (i.e. 1 ) appears only in the first polynomial, so we have nothing to sum. The same goes with the linear factor (i.e. x )

## What is the difference between the two polynomials?

“A polynomial is a type of expression in which the exponents of all variables should be a whole number”. Polynomials are types of expressions. Therefore, the difference between the polynomials is 7×2 + 5x.

## Why is the sum of two polynomials always a polynomial?

Explanation: If you add, subtract or multiply any two polynomials then the result will be a polynomial. When adding or subtracting two polynomials you typically group together similar terms and add or subtract their coefficients. Addition of polynomials is commutative and associative.

## Is the sum and difference of two polynomials always a polynomials?

Explanation: If you add, subtract or multiply any two polynomials then the result will be a polynomial. When adding or subtracting two polynomials you typically group together similar terms and add or subtract their coefficients. For any polynomial P : P+0=0+P=P.

Steps to Add Polynomials: To add polynomials we simply add any like terms together. Step 1: Arrange each polynomial with the term with the highest degree first then in decreasing order of degree. Step 2: Group the like terms. Like terms are terms whose variables and exponents are the same.

## Does a polynomial times a polynomial always a polynomial?

Interestingly, polynomials behave a lot like integers. Just as we can add, subtract, or multiply two integers and the result is always an integer, we can add, subtract, or multiply two polynomials and the result is always expressable as a polynomial.

## When two polynomials are added is the sum always a polynomial?

If you add, subtract or multiply any two polynomials then the result will be a polynomial. When adding or subtracting two polynomials you typically group together similar terms and add or subtract their coefficients.

## Is the product of 2 polynomials always a polynomial?

Yes, when you multiply two polynomials you get a sum of monomials. A sum of monomials is always a polynomial.

## Why is the sum of 2 polynomials always a polynomial?

Explanation: If you add, subtract or multiply any two polynomials then the result will be a polynomial. When adding or subtracting two polynomials you typically group together similar terms and add or subtract their coefficients. Addition of polynomials is commutative and associative.

## How do you add two polynomials?

Steps to Add Polynomials: To add polynomials we simply add any like terms together. Step 1: Arrange each polynomial with the term with the highest degree first then in decreasing order of degree. Step 2: Group the like terms. Like terms are terms whose variables and exponents are the same.