How to divide polynomials in pre-algebra - Math

Dividing by a fraction is the same as multiplying by its reciprocal:

becomes

Simplify the fraction by removing factors that are common to the numerator and the denominator to get

In order to simplify one must distribute the divisor into every term of the equation .

Distribute.

Divide and simplify.

When dividing polynomials you subtract the power of the numerator by the power of the denominator.

The answer is the power of the simplified expression

In this example our answer is .

When dividing polynomials you subtract the power of the numerator by the power of the denominator.

The answer is the power of the simplified expression in this case

In this example our answer is .

We can re-write this expression as a fraction.

To simplify the variable, we subtract the exponent in the denominator from the exponent in the numerator.

Now we can simplify each term.

When dividing polynomials you subtract the power of the numerator by the power of the denominator.

The answer is the power of the simplified expression

In this example our answer is .

When dividing monmials with the same base, you subtract the power of the numerator by the power of the denominator

The answer, , is the power of the simplified expression.

In this example our answer is .

We can think of this expression in terms of the distributive property, allowing us to break it into individual terms.

Using this method, we can cancel the from each term to get our final answer.

When dividing like-termed variables, you subtract the power of the numerator by the power of the denominator.

The power of the simplified expression will be

In this example our answer is .

Use FOIL to factor the denominator, and then check if any factors cancel:

When dividing polynomials you subtract the power of the numerator by the power of the denominator.

The answer is the power of the simplified expression

In this example our answer is .

To divide monomials first you look at the coefficients and and perform division .

To divide the exponents and you follow the laws of exponents so you subtract the exponents . That leaves the answer as .

Dividing by a fraction is the same as multiplying by its reciprocal:

becomes

Simplify the fraction by removing factors that are common to the numerator and the denominator to get

In order to simplify one must distribute the divisor into every term of the equation .

Distribute.

Divide and simplify.

When dividing polynomials you subtract the power of the numerator by the power of the denominator.

The answer is the power of the simplified expression

In this example our answer is .

When dividing polynomials you subtract the power of the numerator by the power of the denominator.

The answer is the power of the simplified expression in this case

In this example our answer is .

We can re-write this expression as a fraction.

To simplify the variable, we subtract the exponent in the denominator from the exponent in the numerator.

Now we can simplify each term.

When dividing monmials with the same base, you subtract the power of the numerator by the power of the denominator

The answer, , is the power of the simplified expression.

In this example our answer is .

We can think of this expression in terms of the distributive property, allowing us to break it into individual terms.

Using this method, we can cancel the from each term to get our final answer.