Question

For 3x2 - 4x+ 1, match the following:
1. 1
Constant
2.3
Degree
3. x
Coefficient
4. 3 x2-4 x+ 1
Algebraic expression
5.2
Variable

Answer 1

Constant: 1

Degree: 2

Coefficient : 3 and -4

Algebraic expression: $3x^2-4x + 1$

Variable : x

Solution:

Given expression is:

$3x^2-4x + 1$

We have to find the constant, degree, coefficient , algebraic expression and varibale

Constant:

In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number like 1, 2

In the given expression, constant is 1

Degree:

The largest exponent the variable has in a polynomial with one variable

In the given expression, largest exponent is 2

Thus degree of polynomial is 2

Coefficient:

The coefficients are the numbers that multiply the variables or letters

In $3x^2-4x + 1$ , coefficients are 3 and -4

Algebraic expression:

An algebraic expression is a mathematical expression that consists of variables, numbers and operations.

Here the algebraic expression is:

$3x^2-4x + 1$

Variable:

The letters x, y, and z are common generic symbols used for variables.

Thus the variable in given expression is x