## Posts Tagged ‘Divide’

## Problem 436

Divide

**Solution:-**

We can write it as

-3 cancel out

= 5

## Divide polynomial functions.

**Divide polynomial functions.**

**Dividing Functions**

If *f *(*x*) and *g *(*x*) define functions, then

** .**Quotient function

The domain of the quotient function is the intersection of the domains

of *f *(*x*) and *g *(*x*), excluding any values of *x *for which *g *(*x*) = 0.

## Divide real numbers

**Divide real numbers**

** **

The result of dividing one number by another is called the **quotient. **For example, when 45 is divided by 3, the quotient is 15. To define division of real numbers, we first write the quotient

of 45 and 3 as , which equals 15. The same answer will be obtained if

45 and are multiplied, as follows.

This suggests the following definition of division of real numbers.

**Division**

For all real numbers *a *and *b *(where b ≠ 0),

In words, multiply the first number by the reciprocal of the second

** Like signs :-**The quotient of two nonzero real numbers with the

*same*sign is positive.

** Unlike signs :-**The quotient of two nonzero real numbers with

*different*signs is negative.

## Dividing and Simplifying Radical Expressions

**Dividing and Simplifying Radical Expressions**

Note that = and that = . This example suggests the following.

The Quotient Rule For Radicals

For any nonnegative number a, any positive number b, and any index k,

= , or .

(To divide, divide the radicands. After doing this, you can sometimes simplify by taking roots.)