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What are the exponent and coefficient of the expression [tex]-5b[/tex]?

A. The exponent is 0 and the coefficient is 5.
B. The exponent is 0 and the coefficient is -5.
C. The exponent is 1 and the coefficient is -5.
D. The exponent is 1 and the coefficient is 5.


Sagot :

To determine the exponent and coefficient of the expression [tex]\(-5b\)[/tex], we need to identify the parts of the expression separately.

1. Identifying the Exponent:

The exponent refers to the power to which the variable [tex]\(b\)[/tex] is raised. In the given expression [tex]\(-5b\)[/tex], the variable [tex]\(b\)[/tex] is not explicitly shown with an exponent, which means it is raised to the power of 1. Therefore, the exponent is [tex]\(1\)[/tex].

2. Identifying the Coefficient:

The coefficient is the numerical factor that multiplies the variable [tex]\(b\)[/tex]. In the given expression [tex]\(-5b\)[/tex], the numerical factor that multiplies [tex]\(b\)[/tex] is [tex]\(-5\)[/tex]. Therefore, the coefficient is [tex]\(-5\)[/tex].

From the steps above, we can conclude that the exponent is [tex]\(1\)[/tex] and the coefficient is [tex]\(-5\)[/tex].

So, the correct answer is:
The exponent is 1 and the coefficient is -5.
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