Question

The algebraic expression in one variable is a polynomial if the index of variable of each term is a .......................... number.​

Answer 1

Topic - Polynomials

Definition. An expression of the form

$\quad a_{0}x^{n}+a_{1}x^{n-1}+...+a_{n-1}x+a_{n}$,

where $a_{0},\:a_{1},\:...,a_{n}$ are given numbers (real or complex), $n$ is a non-negative integer and $x$ is a variable, is called a polynomial in $x$.

Solution:

• Answer: The algebraic expression in one variable is a polynomial if the index of variable of each term is a constant number.
• To understand: An algebraic expression in one variable is of the form $ax+b$, where both $a$ and $b$ are constants with $a\neq 0$.

Answer 2

Step-by-step explanation:

HELLO DEAR,

The algebraic expression in one variable is a polynomial if the index of variable of each term is a constant number.

For example

$ax {}^{n} + a {}^{1} x {}^{n - 1} + a {}^{2} x {}^{n - 2} ...............a {}^{n} x$

I HOPE IT HELP YOU DEAR,

THANKS.