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When you add polynomials, you combine only like terms together.
For example, (x^3+x^2)+(2x^2+x)= x^3+(1+2)x^2+x=x^3+3x^2+x
When you multiply polynomials, you multiply all pairs of terms together.
(x^2+x)(x^3+x)=(x^2)(x^3)+(x^2)(x)+(x)(x^3)+(x)(x)=x^5+x^3+x^4+x^2
Basically, in addition you look at like terms to simplify. In multiplication, you multiply each term individually with every term on the opposite side, ignoring like terms.
What else can I help you with?
What is the process to solve multiplying polynomials?
what is the prosses to multiply polynomials
How is multiplying complex numbers similar to multiplying polynomials?
no
Is area multiplying or adding?
multiplying. adding is permeter. sorry bout my spelling. not the best at it
Adding and subtracting polynomials 10m - 4 - 3m - 5?
The answer is -2m
Is the product of two polynomials always a polynomial?
Yes. A polynomial multiplying by a polynomial will always have a multi-termed product. Hope this helps!
How are adding and multiplying polynomials different from each other?
Adding polynomials involves combining like terms by summing their coefficients, resulting in a polynomial of the same degree. In contrast, multiplying polynomials requires applying the distributive property (or FOIL for binomials), which results in a polynomial whose degree is the sum of the degrees of the multiplied polynomials. Essentially, addition preserves the degree of the polynomials, while multiplication can increase it.
When adding polynomials what do you do to the exponents?
You keep them the same if they have different bases
What is the process to solve multiplying polynomials?
what is the prosses to multiply polynomials
How is multiplying complex numbers similar to multiplying polynomials?
no
What are the operation of polynomials?
Adding and subtracting polynomials is simply the adding and subtracting of their like terms.
What is the distributive property when multiplying polynomials?
You just multiply the term to the polynomials and you combine lije terms
When multiplying polynomials?
It might help if the question was completed!
What is the difference multiplying binomials with factoring polynomials into binomial factors?
It's the difference between multiplication and division. Multiplying binomials is combining them. Factoring polynomials is breaking them apart.
Is there a limit on how many x squared you can use in multiplying polynomials?
No.
Do you always use the property of distribution when multiplying monomials and polynomials?
Yes.
How are adding subtracting decimals different from multiplying them?
They aren't. The rules are the same as those for adding/subtracting or multiplying integers. Just be careful of the decimal point's location.
How is adding polynomials like adding integers?
The numbers can have a positive or negative sign.
