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Do you use the distributive property with a monomial and a polynomial?
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).
Is 2 N an monomial?
yes, 2N is, but not N+2 From WIKIPEDIA: "The first meaning is a product of powers of variables, or formally any value obtained from 1 by finitely many multiplications by a variable. If only a single variable x is considered this means that any monomial is either 1 or a power xn of x, with n a positive integer. If several variables are considered, say, x, y, z, then each can be given an exponent, so that any monomial is of the form xaybzc with a,b,c nonnegative integers (taking note that any exponent 0 makes the corresponding factor equal to 1). The second meaning of monomial includes monomials in the first sense, but also allows multiplication by any constant, so that − 7x5 and (3 − 4i)x4yz13 are also considered to be monomials (the second example assuming polynomials in x, y, z over the complex numbers are considered)."
Classify the following polynomial -32xyz?
Since no terms are added, it is a monomial (one term). Adding the powers of the variables (three variables, each to the first power), you see that it is of degree 3.
Sum of monomials?
A single-term algebraic expression is called a monomial. A monomial is the product of real numbers and variables with nonnegative exponents.How to recognize a monomial?Examples: -2abc; 3/x; -r^2s; 3/4x; xy^-3-2abc and -r^2s are monomials3/x, 3/4x, and xy^-3 are not monomials because each has an unknown variable in the denominator (xy^-3 = x/y^3).The number in front of the variable, or numerical factor, is called the numerical coefficient of the term, or simply coefficient.Examples:2x^2, the coefficient is 2;x^5, the coefficient is 1;-3y, the coefficient is -3;-6a/7, the coefficient is -6/7.Terms that have the same variable factors are like terms. Monomials with the same like terms can be combined. For example,2x + 3x = (2 + 3)x = 5x5x^2y^3 - 2x^2y^3 = (5 - 2)x^2y^3 = 3x^2y^3But 8xy and x cannot be combined because one monomial has x and y as its variables and the second monomial has only x. Therefore, the monomials are not like terms, and the resulting expression will remain 8xy +y.
Factor the trinomial below Enter each factor as a polynomial in descending order?
(x+8)(x-5)
