What is Multiplication of Monomials by Polynomials?

Krystal Villanueva

Krystal Villanueva

Answered question

2022-02-02

What is Multiplication of Monomials by Polynomials?

Answer & Explanation

Dzikowiec5wa

Dzikowiec5wa

Beginner2022-02-03Added 13 answers

It works the same as with numbers. For numbers, you know that a(b+c) equals ab+ac.
For the same reason, if you have a monomial and you want to multiplicate it by a polynomial (which is a sum of monomials with some coefficients!), you follow the same rule.
For example, if your monomial is 3x2, and your polynomial is 3+2x5x2+8x3, the product is
3x2(3+2x5x2)+8x3
you will calculate is as
3x23+3x22x3x25x2+3x28x3, which is
9x2+6x315x4+24x5
rossegues03b

rossegues03b

Beginner2022-02-04Added 11 answers

When multiplying polynomials, each term from one polynomial must be multiplied by each term of the other polynomial. Since each term in a polynomial is a monomial, multiplying polynomials becomes multiplying monomials. ... The factors are regrouped, and then multiplied.

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