Before you study type of polynomials, you are advised to read:
Define Terms ?
Define like Terms ?
Define Unlike Terms ?
** Zero Polynomial ** - If in a given polynomial all the coefficients are zero then it is known as the zero polynomial
Example : 0 + 0^{3} - 0
** Monomial ** - An algebraic expression which contains only one term is known as Monomial
Or we can also say that:
An expression which contains any number of like terms is known as Monomial
Example : 2x, 3x^{2}, 4t, 9p, 9pq, 21x^{2}y all are monomial because all contains only one term.
Example : 2x + 3x + 4x this is also a monomial because all are like terms.
On adding these like terms we get 9x.
And since 9x have only one term, so its called as monomial.
**Binomial ** - An algebraic expression which contains two unlike terms is known as Binomial
Example : 2x + 3x^{2} is a Binomial, because it contains two unlike terms i.e. 2x and 3x^{2}
Example : 9pq + 11p^{2}q is a Binomial, because it contains two unlike terms i.e. 9pq and 11p^{2}q
**Trinomial ** - An algebraic expression which contains three unlike terms is known as Trinomial
Example : 2x + 3x^{2} - 5x^{3} is a Trinomial, because it contains three unlike terms i.e. 2x, 3x^{2} and 5x^{3}
Example : 12pq + 3x^{2} - 11 is a Trinomial, because it contains three unlike terms i.e. 12pq, 3x^{2} and 11
### Study More Solved Questions / Examples
In each of the following write which polynomials are monomials, binomials, trinomials
1) 2x + 4x
2) 5x + 9x
3) 6x^{2} + 3x
4) 7x^{2} + 2x
5) x^{2}
6) u^{2}
7) 9
8) 29
9) 5x^{2} + 5x
10) 5x^{3} + 5x
11) 5x^{3} - 2x
12) 3x^{3} + 2x + 1
13) 3x^{3} + 2x^{2} + 1
14) 4x^{3} + 3x^{2} + 2
15) 7x^{3} + 6x^{2} + 3 |
In each of the following write which polynomials are monomials, binomials, trinomials
1) 2x^{2} + 4x^{2} + 2x + 4x
2) 5x^{2} + 9x^{2} + 5x + 9x
3) 6x^{2} + 3x^{2} + 3x
4) 7x^{2} + 2x^{2} + 2x
5) x^{2} + x + 1
6) u^{2} + u + 1
7) 9 + 1
8) 29 + 2
9) 5x^{2} + 5x + 2x
10) 5x^{3} + 5x + 3x
11) 5x^{3} - 2x + 3
12) 3x^{3} + 2x + 1
13) 3x^{3} + 3x^{3} + 2x^{2} + 2x^{2} + 1
14) 4x^{3} + 4x^{3} + 3x^{2} + 3x^{2} + 2
15) 7x^{3} + 7x^{3} + 6x^{2} + 6x^{2} + 3 |
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