Q: What do you multiply after you divide a polynomial by a monomial?

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It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial).

You divide each term of the binomial by the monomial, and add everything up. This also works for the division of any polynomial by a monomial.

binomal

If the quotient of a certain binomial and 20x2 is is the polynomial

A monomial is simply a special case of a polynomial - one with a single term.

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you foil it out.... for example take the first number or variable of the monomial and multiply it by everything in the polynomial...

monomial

It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial).

You divide each term of the binomial by the monomial, and add everything up. This also works for the division of any polynomial by a monomial.

binomal

If you want to multiply the monomial by the polynomial, yes. In that case, you have to multiply the monomial by every term of the polynomial. For example: a (b + c + d) = ab + ac + ad More generally, when you multiply together two polynomials, you have to multiply each term in one polynomial by each term of the other polynomial; for example: (a + b)(c + d) = ac + ad + bc + bd All this can be derived from the distributive property (just apply the distributive property repeatedly).

If the quotient of a certain binomial and 20x2 is is the polynomial

monomial

A monomial is simply a special case of a polynomial - one with a single term.

A single term, so monomial.

Every term of a polynomial is a monomial.

Yes. In general, a monomial is a polynomial.