Question

Show the classification of “Types of Polynomials” based on the

“number of terms” and “degree”. Show this information using a

tree made using MADHUBANI ART. Make leaves attached to

each branch showing EXAMPLES of each type of polynomial. As

shown in the example. ​

Answer 1

Step-by-step explanation:

Number of terms -

1. Monomial

2. Binomial

3. Trinomial

Number of degree

1. Zero

2. Linear

3. Quadratic

4. Cubic

Answer 2

Answer:

In simple words, polynomials are expressions comprising a sum of terms, where each term holding a variable or variables is elevated to power and further multiplied by a coefficient. Amusingly, the simplest polynomials hold one variable.

Polynomials

Types of Polynomials

Let us get familiar with the different types of polynomials. It will form the base to further learning.

Monomials – Monomials are the algebraic expressions with one term, hence the name “Mono”mial. In other words, it is an expression that contains any count of like terms. For example, 2x + 5x + 10x is a monomial because when we add the like terms it results in 17x. Furthermore, 4t, 21x2y, 9pq etc are monomials because each of these expressions contains only one term.

Binomials – Binomials are the algebraic expressions with two unlike terms, hence the name “Bi”nomial. For example, 3x + 4x2 is binomial since it contains two unlike terms, that is, 3x and 4x2. Likewise, 10pq + 13p2q is a binomial.

Trinomials – Trinomials are the algebraic expressions with three unlike terms, hence the name “Tri”nomial. For example- 3x + 5x2 – 6x3 is a trinomial. It is due to the presence of three, unlike terms, namely, 3x, 5x2 and 6x3. Likewise, 12pq + 4x2 – 10 is a trinomial.