Question

Write true/false in the following-
(i) 3x + 7 is a linear polynomial.​

Answer 1

True

3x + 7 is a linear polynomial.

Explanation:

• Linear polynomial: A polynomial of one degree is said to be a linear polynomial. It means that the highest power of the variable in the polynomial is 1.

• Form: Linear polynomials are of the form (ax + b), where x is a variable and a, b are constants with b ≠ 0. Because if b = 0, the variable will disappear and we will get a constant, specifically a number only.

• Example: There can be many examples, 2x + 3, 3x + 11, 5y - 23, etc., where x, y, etc. are variables.

Answer 2

SOLUTION

TO CHECK

True / False below statement :

3x + 7 is a linear polynomial

CONCEPT TO BE IMPLEMENTED

Polynomial

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

Degree of a Polynomial

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

Linear Polynomial

A linear polynomial is an algebraic expression consisting of variables and constants in which each term has an exponent of one

EVALUATION

Here the given expression is

$\sf{3x + 7}$

Now it is a polynomial

The variable is x

Again the algebraic expression consisting of variables and constants in which each term has an exponent of one

So 3x + 7 is a linear polynomial

FINAL ANSWER

Hence the statement is True

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