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Multiplication of polynomial by a polynomial?

Anonymous

∙ 13y ago

Updated: 8/28/2023

Distribute... You have to make sure you multiply each term by each term and the only way is to distribute. don't really know of any other way. Remember to add all of the like terms first so you dont have to do extra work.

Wiki User

∙ 14y ago

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More answers

Is only a polynomial like 5 *5=25

2x * x =2x^2

Wiki User

∙ 13y ago

You use the distributive law. It can take a while, though.

(ax2+bx+c)*(dx2+ex+f)=(adx4+aex3+afx2+bdx3+bex2+bfx+cdx2+cex+cf)

I'm using e as a variable, not a constant.

Wiki User

∙ 12y ago

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Q: Multiplication of polynomial by a polynomial?

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Related Questions

What property of polynomial multiplication says that the product of two polynomials is always a polynomial?

Clouser

Which property of polynomial multiplication says that the product of two polynomials is always a polynomial?

That property is called CLOSURE.

Are polynomial expressions closed under multiplication?

Yes, because there is no way of multiplying two polynomials to get something that isn't a polynomial.

What is a polynomial multiplication with a quotient of x 3 and a remainder of 2?

To get a quotient and a remainder, you would need to do a division, not a multiplication.

If polynomial is not any number then how will you define a polynomial?

An expression made with constants, variables and exponents, which are combined using addition, subtraction and multiplication, ... but not division.

What does it mean for a polynomial to be closed under addition subtraction and multiplication?

It means that you can do any of those operations, and again get a number from the set - in this case, a polynomial. Note that if you divide a polynomial by another polynomial, you will NOT always get a polynomial, so the set of polynomials is not closed under division.

Is the factor of polynomials means to rewrite it as multiplication?

Yes. Factoring a polynomial means to separate it into smaller factors, which, when multiplied together, give you the original polynomial.

Are polynomial expressions closed under subtraction?

Yes they are closed under multiplication, addition, and subtraction.

Why monomial is not polynomial?

In mathematics, a polynomial is a finite expression made up of variables and constants, by using the operations of addition, subtraction, multiplication. The other requirement is the the exponents bet non-negative whole number.A polynomial is the sum of two or more monomials. That is why a monomial is not a polynomial.

Can a constant be considered a polynomial?

No, a constant cannot be considered a polynomial because it is only a single term. A polynomial is defined as an expression that consists of the variables and coefficients that involves only the operations of subtraction, addition, multiplication, and the non-negative integer exponents.

Will the product of two polynomials always be a polynomial?

Yes, the product of two polynomials will always be a polynomial. This is because when you multiply two polynomials, you are essentially combining like terms and following the rules of polynomial multiplication, which results in a new polynomial with coefficients that are the products of the corresponding terms in the original polynomials. Therefore, the product of two polynomials will always be a polynomial.

Why is it important to know the reverse process of multiplication?

To cross-check that a multiplication is correct as for example if 7*8 = 56 then the reverse process of division must be correct as 56/7 = 8 or 56/8 = 7

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