How to divide polynomials - ACT Math
Card 0 of 27
What is
equal to?
What is equal to?
1. Factor the numerator:

2. Factor the denominator:

3. Divide the factored numerator by the factored denominator:

You can cancel out the
from both the numerator and the denominator, leaving you with:

1. Factor the numerator:
2. Factor the denominator:
3. Divide the factored numerator by the factored denominator:
You can cancel out the from both the numerator and the denominator, leaving you with:
Compare your answer with the correct one above
Simplify:

Simplify:
In order to divide these polynomials, you need to first factor them.

and

Now, the expression becomes 

so,

In order to divide these polynomials, you need to first factor them.
and
Now, the expression becomes
so,
Compare your answer with the correct one above
Simplify the following division of polynomials:

Simplify the following division of polynomials:
The leading term of the numerator is one exponent higher than the leading term of the denominator. Thus, we know the result of the division is going to be somewhere close to
. We can separate the fraction out like this:

The first term is easily seen to be
, which is equal to
. The second term can also be written out as:

and combining these, we get our final answer,

The leading term of the numerator is one exponent higher than the leading term of the denominator. Thus, we know the result of the division is going to be somewhere close to . We can separate the fraction out like this:
The first term is easily seen to be , which is equal to
. The second term can also be written out as:
and combining these, we get our final answer,
Compare your answer with the correct one above
What is
equal to?
What is equal to?
1. Factor the numerator:

2. Factor the denominator:

3. Divide the factored numerator by the factored denominator:

You can cancel out the
from both the numerator and the denominator, leaving you with:

1. Factor the numerator:
2. Factor the denominator:
3. Divide the factored numerator by the factored denominator:
You can cancel out the from both the numerator and the denominator, leaving you with:
Compare your answer with the correct one above
Simplify:

Simplify:
In order to divide these polynomials, you need to first factor them.

and

Now, the expression becomes 

so,

In order to divide these polynomials, you need to first factor them.
and
Now, the expression becomes
so,
Compare your answer with the correct one above
Simplify the following division of polynomials:

Simplify the following division of polynomials:
The leading term of the numerator is one exponent higher than the leading term of the denominator. Thus, we know the result of the division is going to be somewhere close to
. We can separate the fraction out like this:

The first term is easily seen to be
, which is equal to
. The second term can also be written out as:

and combining these, we get our final answer,

The leading term of the numerator is one exponent higher than the leading term of the denominator. Thus, we know the result of the division is going to be somewhere close to . We can separate the fraction out like this:
The first term is easily seen to be , which is equal to
. The second term can also be written out as:
and combining these, we get our final answer,
Compare your answer with the correct one above
What is
equal to?
What is equal to?
1. Factor the numerator:

2. Factor the denominator:

3. Divide the factored numerator by the factored denominator:

You can cancel out the
from both the numerator and the denominator, leaving you with:

1. Factor the numerator:
2. Factor the denominator:
3. Divide the factored numerator by the factored denominator:
You can cancel out the from both the numerator and the denominator, leaving you with:
Compare your answer with the correct one above
Simplify:

Simplify:
In order to divide these polynomials, you need to first factor them.

and

Now, the expression becomes 

so,

In order to divide these polynomials, you need to first factor them.
and
Now, the expression becomes
so,
Compare your answer with the correct one above
Simplify the following division of polynomials:

Simplify the following division of polynomials:
The leading term of the numerator is one exponent higher than the leading term of the denominator. Thus, we know the result of the division is going to be somewhere close to
. We can separate the fraction out like this:

The first term is easily seen to be
, which is equal to
. The second term can also be written out as:

and combining these, we get our final answer,

The leading term of the numerator is one exponent higher than the leading term of the denominator. Thus, we know the result of the division is going to be somewhere close to . We can separate the fraction out like this:
The first term is easily seen to be , which is equal to
. The second term can also be written out as:
and combining these, we get our final answer,
Compare your answer with the correct one above
What is
equal to?
What is equal to?
1. Factor the numerator:

2. Factor the denominator:

3. Divide the factored numerator by the factored denominator:

You can cancel out the
from both the numerator and the denominator, leaving you with:

1. Factor the numerator:
2. Factor the denominator:
3. Divide the factored numerator by the factored denominator:
You can cancel out the from both the numerator and the denominator, leaving you with:
Compare your answer with the correct one above
Simplify:

Simplify:
In order to divide these polynomials, you need to first factor them.

and

Now, the expression becomes 

so,

In order to divide these polynomials, you need to first factor them.
and
Now, the expression becomes
so,
Compare your answer with the correct one above
Simplify the following division of polynomials:

Simplify the following division of polynomials:
The leading term of the numerator is one exponent higher than the leading term of the denominator. Thus, we know the result of the division is going to be somewhere close to
. We can separate the fraction out like this:

The first term is easily seen to be
, which is equal to
. The second term can also be written out as:

and combining these, we get our final answer,

The leading term of the numerator is one exponent higher than the leading term of the denominator. Thus, we know the result of the division is going to be somewhere close to . We can separate the fraction out like this:
The first term is easily seen to be , which is equal to
. The second term can also be written out as:
and combining these, we get our final answer,
Compare your answer with the correct one above
What is
equal to?
What is equal to?
1. Factor the numerator:

2. Factor the denominator:

3. Divide the factored numerator by the factored denominator:

You can cancel out the
from both the numerator and the denominator, leaving you with:

1. Factor the numerator:
2. Factor the denominator:
3. Divide the factored numerator by the factored denominator:
You can cancel out the from both the numerator and the denominator, leaving you with:
Compare your answer with the correct one above
Simplify:

Simplify:
In order to divide these polynomials, you need to first factor them.

and

Now, the expression becomes 

so,

In order to divide these polynomials, you need to first factor them.
and
Now, the expression becomes
so,
Compare your answer with the correct one above
Simplify the following division of polynomials:

Simplify the following division of polynomials:
The leading term of the numerator is one exponent higher than the leading term of the denominator. Thus, we know the result of the division is going to be somewhere close to
. We can separate the fraction out like this:

The first term is easily seen to be
, which is equal to
. The second term can also be written out as:

and combining these, we get our final answer,

The leading term of the numerator is one exponent higher than the leading term of the denominator. Thus, we know the result of the division is going to be somewhere close to . We can separate the fraction out like this:
The first term is easily seen to be , which is equal to
. The second term can also be written out as:
and combining these, we get our final answer,
Compare your answer with the correct one above
What is
equal to?
What is equal to?
1. Factor the numerator:

2. Factor the denominator:

3. Divide the factored numerator by the factored denominator:

You can cancel out the
from both the numerator and the denominator, leaving you with:

1. Factor the numerator:
2. Factor the denominator:
3. Divide the factored numerator by the factored denominator:
You can cancel out the from both the numerator and the denominator, leaving you with:
Compare your answer with the correct one above
Simplify:

Simplify:
In order to divide these polynomials, you need to first factor them.

and

Now, the expression becomes 

so,

In order to divide these polynomials, you need to first factor them.
and
Now, the expression becomes
so,
Compare your answer with the correct one above
Simplify the following division of polynomials:

Simplify the following division of polynomials:
The leading term of the numerator is one exponent higher than the leading term of the denominator. Thus, we know the result of the division is going to be somewhere close to
. We can separate the fraction out like this:

The first term is easily seen to be
, which is equal to
. The second term can also be written out as:

and combining these, we get our final answer,

The leading term of the numerator is one exponent higher than the leading term of the denominator. Thus, we know the result of the division is going to be somewhere close to . We can separate the fraction out like this:
The first term is easily seen to be , which is equal to
. The second term can also be written out as:
and combining these, we get our final answer,
Compare your answer with the correct one above
What is
equal to?
What is equal to?
1. Factor the numerator:

2. Factor the denominator:

3. Divide the factored numerator by the factored denominator:

You can cancel out the
from both the numerator and the denominator, leaving you with:

1. Factor the numerator:
2. Factor the denominator:
3. Divide the factored numerator by the factored denominator:
You can cancel out the from both the numerator and the denominator, leaving you with:
Compare your answer with the correct one above
Simplify:

Simplify:
In order to divide these polynomials, you need to first factor them.

and

Now, the expression becomes 

so,

In order to divide these polynomials, you need to first factor them.
and
Now, the expression becomes
so,
Compare your answer with the correct one above