Advertisements
Advertisements
Question
Classify the following polynomial as monomial, binomial, trinomial. Which polynomial do not fit in any category?
5x − 4y + 3x
Solution
Definitions:
A polynomial is monomial if it has exactly one term. It is called binomial if it has exactly two non-zero terms. A polynomial is a trinomial if it has exactly three non-zero terms.
The polynomial \[5x - 4y + 3x\] has exactly three terms, i.e., 5x, \[-\] 4y and 3x. Therefore, it is a trinomial.
APPEARS IN
RELATED QUESTIONS
Match the following:
| Column A | Column B |
| (a) 4y2 × −3y | (i) 20x2y −20x |
| (b) −2xy(5x2 −3) | (ii) 5x3 − 5xy2 + 5x2y |
| (c) 5x(x2 − y2 + xy) | (iii) 4x2 − 9 |
| (d) (2x + 3)(2x −3) | (iv) −12y3 |
| (e) 5x(4xy −4) | (v) −10x3y + 6xy |
Write the following statements in the form of algebraic expressions and write whether it is monomial, binomial or trinomial.
Perimeter of a rectangle with length p and breadth q.
Write the following statements in the form of algebraic expressions and write whether it is monomial, binomial or trinomial.
Two times q subtracted from cube of q.
Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.
x4 + 3x3y + 3x2y2 – 3x3y – 3xy3 + y4 – 3x2y2
Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.
p3q2r + pq2r3 + 3p2qr2 – 9p2qr2
Find the values of the following polynomials at a = –2 and b = 3:
a2 – 2ab + b2
Find the values of following polynomials at m = 1, n = –1 and p = 2:
m3 + n3 + p3
