Question

What are the coefficients in the expression 8a + b + 9?

Answer 1

Answer:

8 and 1

Step-by-step explanation:

Any equation  which can be expressed in terms of a,b, c and so on is algebraic expression.

The term a, b , c ...are variables. They are called so be cause their value can change based on change in condition.

Coefficient are the number with which a variable is multiplied with.

Example

10a+ 20b+c+7d+ 10  is algebraic expression.

The terms which is free of any variable is called  constant as its value remains fixed.

In above expression 10 is constant term.

Here term a, b,d are multiplied with 10, 20, and 7 respectively. Thus, these terms are coefficient .

If any term does not explicit coefficient then its coefficient is taken as 1.

This can be explained,

as in above example c does not have any explicit coefficient attached with it

"c" can be also expressed as 1*c as multiplication with does alter the value of variable.

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Now in  the prblem given

expression: 8a + b + 9

Variable are a , b

constant term is 9

8 is multiplied with variable a. so, 8 is coefficient of a.

b does not have any coefficient thus b coefficient can be taken as 1

as 1*b is equal to b.

Thus, coefficient in expression  8a + b + 9 is 8 and 1.