Not into rational factors.
-- bigger quantity -- bigger angle
monomials are just polynomials with one term, i.e. 2xy2, n3, etc. A binomial has two terms, i.e. 3xy2+2, etc.
In algebra polynomials are the equations which can have any number of higher power. Quadratic equations are a type of Polynomials having 2 as the highest power.
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Terms in polynomials are simply separated by a plus or minus sign. For example, if you had: x+12x, that would be a binomial (two terms). A trinomial is when the expression has three or more terms, 7x+12x-6x.
polynomials have 4 or more terms. I learned about that today in my math class. monomial =1 binomial=2 trinomial=3 polynomial=4+
When you add polynomials, you combine only like terms together. For example, (x^3+x^2)+(2x^2+x)= x^3+(1+2)x^2+x=x^3+3x^2+x When you multiply polynomials, you multiply all pairs of terms together. (x^2+x)(x^3+x)=(x^2)(x^3)+(x^2)(x)+(x)(x^3)+(x)(x)=x^5+x^3+x^4+x^2 Basically, in addition you look at like terms to simplify. In multiplication, you multiply each term individually with every term on the opposite side, ignoring like terms.
Not into rational factors.
-- bigger quantity -- bigger angle
In algebra polynomials are the equations which can have any number of higher power. Quadratic equations are a type of Polynomials having 2 as the highest power.
monomials are just polynomials with one term, i.e. 2xy2, n3, etc. A binomial has two terms, i.e. 3xy2+2, etc.
no it is a binomial. terms in an algebriac expression are separated by addition or subtraction ( + or -) symbols and must not be like terms. then just count the terms. one term = monomial, 2 terms = binomial, 3 terms = trinomial. More than 3 terms are usually just referred to as polynomials.
A polynomial has 3 or more terms. It can have exponents and variables. Example: 24x + 74y - 24z 24x = term 1 74y = term 2 24z = term 3 EDIT: Polynomials can have 1 or 2 terms as well. But those are special, they are monomials and binomials.
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yes
Yes, there are Chebyshev polynomials of the third and fourth kind, not just the first and second. The third kind is often denoted Vn (x) and it is Vn(x)=(1-x)1/2 (1+x)-1/2 and the domain is (-1,1) Chebychev polynomials of the fourth kind are deonted wn(x)=(1-x)-1/2 (1+x)1/2 As with other Chebychev polynomials, they are orthogonal. They are both special cases of Jacobi polynomials.