7. Write two algebraic expressions that fall under the following categories. 1. Trinomial b. Binomial c. Monomial d. Polynomial but not binomial or trinomial
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Answers
Answer:
Polynomials:
Polynomials are algebraic expressions that are typically ordered starting with variables of highest exponent followed by variables of successively lower exponents. The highest exponent determines the degree of the polynomial. If this exponent is a four, the polynomial will be of the fourth degree. We can perform several mathematical operations with polynomials such as addition, subtraction, multiplication, and division. We can classify them into monomial, binomial, and trinomial, depending on the number of terms the polynomial has.
Once ordered from highest to lowest exponent, we can identify the degree of a polynomial as well as its leading coefficient, which is the coefficient of the first term. We can also identify its constant term.
Answer and Explanation: 1
Given:
7
x
3
Required:
Classify the expression.
First, we must analyze the given expression:
7
x
3
7
is the leading coefficient.
3
is the degree.
x
is the variable.
When a polynomial has only one term, it is a monomial. Therefore:
7
x
3
is a monomial.
While the expression is a polynomial (Option
D
), the most descriptive option is
A
.
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Answer:
They are: monomial, polynomial, binomial, trinomial, multinomial. 1. Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.