what is a monomial of the 2nd degree with a leading coefficient of 3
Answers
Answer:
Step-by-step explanation:
A monomial is an expression in algebra that contains one term, like 3xy. Monomials include: numbers, whole numbers and variables that are multiplied together, and variables that are multiplied together. A polynomial is a sum of monomials where each monomial is called a term.
Identifying a Monomial
Any number, all by itself, is a monomial, like 5 or 2700. A monomial can also be a variable, like "m" or "b". It can also be a combination of these, like 98b or 78xyz. It cannot have a fractional or negative exponent. These are not monomials: 45x+3, 10 - 2a, or 67a - 19b + c.
Two rules about monomials are:
A monomial multiplied by a monomial is also a monomial.
A monomial multiplied by a constant is also a monomial.
When looking at examples of monomials, you need to understand different kinds of polynomials. Following is an explanation of polynomials, binomials, trinomials, and degrees of a polynomial.
A monomial of the 2nd degree with a leading coefficient of 3 are 3x² and 3xy.
Step-by-step explanation:
To find : What is a monomial of the 2nd degree with a leading coefficient of 3 ?
Solution :
A polynomial which has only one term is called monomial.
The degree of a monomial is defined as the sum of all the exponents of the variables.
A leading coefficient is the number multiply to the variable.
For examples :
1) If the monomial has only one variable.
3x² is a monomial of the 2nd degree with a leading coefficient of 3.
2) If the monomial has more than one variable
3xy is a monomial of the 2 degree with a leading coefficient of 3.
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What is a monomial of the 2nd degree with a leading coefficient of 3
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