define polynominal on the basis of terms and degrees
Answers
Answered by
1
Answer:
Step-by-step explanation:
→ Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers common terminology like terms, degree, standard form, monomial, binomial and trinomial.
mark me as brainliest answer.
bhumipreet:
thanks
Answered by
1
On the basis of degree :
The degree of a polynomial is the highest of degrees of its monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer. The term order has been used as a synonym of degree but, nowadays, may refer to several other concepts (see order of a polynomial (disambiguation)). For example, the polynomial {\displaystyle 7x^{2}y^{3}+4x-9,}which can also be expressed as {\displaystyle 7x^{2}y^{3}+4x^{1}y^{0}-9x^{0}y^{0},} has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.
On the basis of term :
The polynomial in the example above is written in descending powers of x. ... Polynomials can be classified by the number of terms with nonzero coefficients, so that a one-term polynomial is called a monomial, a two-term polynomial is called a binomial, and a three-term polynomial is called a trinomial.
Hope this will help you .
Please mark me as a brain list.
The degree of a polynomial is the highest of degrees of its monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer. The term order has been used as a synonym of degree but, nowadays, may refer to several other concepts (see order of a polynomial (disambiguation)). For example, the polynomial {\displaystyle 7x^{2}y^{3}+4x-9,}which can also be expressed as {\displaystyle 7x^{2}y^{3}+4x^{1}y^{0}-9x^{0}y^{0},} has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.
On the basis of term :
The polynomial in the example above is written in descending powers of x. ... Polynomials can be classified by the number of terms with nonzero coefficients, so that a one-term polynomial is called a monomial, a two-term polynomial is called a binomial, and a three-term polynomial is called a trinomial.
Hope this will help you .
Please mark me as a brain list.
Similar questions
Environmental Sciences,
6 months ago
History,
6 months ago
English,
6 months ago
Math,
1 year ago
English,
1 year ago
Computer Science,
1 year ago