you foil it out.... for example take the first number or variable of the monomial and multiply it by everything in the polynomial...
23 is a monomial.
prime
No. A monomial is a polynomial with just one term, so that the power must be only a positive integer.
monomial,binomial, trinomial, quadrinomial and quintinomial
It will be a cubic polynomial.
You multiplay the consents and who cares about math, go out and party! the world will end in 2012 anyway!To divide a polynomial by a monomial you don't need to multiply the polynomial.
It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (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).
To multiply a polynomial by a monomial, distribute the monomial to each term of the polynomial. This involves multiplying the coefficient of the monomial by the coefficient of each term in the polynomial, while also adding the exponents of like bases (if applicable). For example, if you have a monomial (3x) and a polynomial (2x^2 + 5x + 1), you would compute (3x \cdot 2x^2), (3x \cdot 5x), and (3x \cdot 1) to get (6x^3 + 15x^2 + 3x). Finally, combine the results to form the new polynomial.
monomial
A monomial is simply a special case of a polynomial - one with a single term.
Every term of a polynomial is a monomial.
monomial
A single term, so monomial.
No. It simplifies to a monomial.
Yes. In general, a monomial is a polynomial.