Question

what is the coefficient of a2 in 4a2

Answer 1

Coefficient of a² in 4a² is 4

We have given the algebraic expression as 4a², where the variable is a and the constant term of the expression is 4 and here the degree of the polynomial is 2

Variable = It is the alphabetic term of any of the polynomial which value may differ as per the condition of the question

Coefficient = It is the numerical value of the variable in any of the polynomial equation

we have 4a²

where a² is variable

and 4 is the coefficient of it.

Hence, the coefficient of a² in 4a² is 4

Answer 2

SOLUTION

TO DETERMINE

$\sf{} \: The \: coefficient \: of \: \: {a}^{2} \: \: in \: \: 4 {a}^{2}$

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

When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term.

Polynomials have no variables in denominators or exponents, no roots or absolute values of variables, and all variables have whole number exponents

COEFFICIENT OF A TERM IN POLYNOMIAL

In a polynomial the Coefficient of a term of polynomial is the number multiplied to the variable

EVALUATION

$\sf{}Here \: the \: polynomial \: is \: \: 4 {a}^{2}$

$\sf{}Now \: the \: real \: number \: multiplied \: to \: {a}^{2} \: \: is \: 4$

$\sf{} Hence\: the \: coefficient \: of \: \: {a}^{2} \: \: in \: \: 4 {a}^{2} \: is \: 4$

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Write the degree of the given polynomial:

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