Advertisements
Advertisements
Question
In a polynomial, the exponents of the variables are always ______.
Options
integers
positive integers
non-negative integers
non-positive integers
Advertisements
Solution
In a polynomial, the exponents of the variables are always non-negative integers.
Explanation:
In a polynomial, the exponents of the variables are either positive integers or 0. Constant term C can be written as C x°. We do not consider the expressions as a polynomial which consist of the variables having negative/fractional exponent.
APPEARS IN
RELATED QUESTIONS
Factorize the following expressions
8x3 y3 + 27a3
Factorize the following expressions
64a3 – b3
Evaluate:
(i) (a + b)(a - b)
(ii) (a2 + b2)(a + b)(a - b); using the result of (i).
(iii) (a4 + b4)(a2 + b2)(a + b)(a - b); using the result of (ii).
Divide: 4x3 - 2x2 by - x
Divide: 9a4b - 15a3b2 + 12a2b3 by - 3a2b
Write in the form of an algebraic expression:
Perimeter (P) of a rectangle is two times the sum of its length (l) and its breadth (b).
Write in the form of an algebraic expression:
Area of a square is square of its side.
An algebraic statement which is equivalent to the verbal statement “Three times the sum of ‘x’ and ‘y’ is
In the given figure, the length of a green side is given by g and that of the red side is given by p.

Write an expression for the following pattern. Also write an expression if 100 such shapes are joined together.

Shashi used addition to solve a word problem about the weekly cost of commuting by toll tax for ₹ 15 each day. Ravi solved the same problem by multiplying. They both got the correct answer. How is this possible?
