Factoring Polynomials - High School Math
Card 0 of 16
Find the zeros.
Find the zeros.
This is a difference of perfect cubes so it factors to 
. Only the first expression will yield an answer when set equal to 0, which is 1. The second expression will never cross the 
-axis. Therefore, your answer is only 1.
This is a difference of perfect cubes so it factors to
Compare your answer with the correct one above
Find the zeros.
Find the zeros.
Factor the equation to 
. Set 
and get one of your 
's to be 
. Then factor the second expression to 
. Set them equal to zero and you get 
.
Factor the equation to
Compare your answer with the correct one above
Factor 
Factor
Use the difference of perfect cubes equation:
In 
,
and 
Use the difference of perfect cubes equation:
In
Compare your answer with the correct one above
Factor the polynomial completely and solve for 
.
Factor the polynomial completely and solve for
To factor and solve for 
in the equation 
Factor 
out of the equation
Use the "difference of squares" technique to factor the parenthetical term, which provides the completely factored equation:
Any value that causes any one of the three terms 
, 
, and 
to be 
will be a solution to the equation, therefore
To factor and solve for
Factor
Use the "difference of squares" technique to factor the parenthetical term, which provides the completely factored equation:
Any value that causes any one of the three terms
Compare your answer with the correct one above
Factor the following expression:
Factor the following expression:
You can see that each term in the equation has an "x", therefore by factoring "x" from each term you can get that the equation equals 
.
You can see that each term in the equation has an "x", therefore by factoring "x" from each term you can get that the equation equals
Compare your answer with the correct one above
Factor this expression:
Factor this expression:
First consider all the factors of 12:
1 and 12
2 and 6
3 and 4
Then consider which of these pairs adds up to 7. This pair is 3 and 4.
Therefore the answer is 
.
First consider all the factors of 12:
1 and 12
2 and 6
3 and 4
Then consider which of these pairs adds up to 7. This pair is 3 and 4.
Therefore the answer is
Compare your answer with the correct one above
Factor the following polynomial:
Factor the following polynomial:
Begin by extracting 
from the polynomial:
Now, factor the remainder of the polynomial as a difference of cubes:
Begin by extracting
Now, factor the remainder of the polynomial as a difference of cubes:
Compare your answer with the correct one above
Factor the following polynomial:
Factor the following polynomial:
Begin by rearranging like terms:
Now, factor out like terms:
Rearrange the polynomial:
Begin by rearranging like terms:
Now, factor out like terms:
Rearrange the polynomial:
Compare your answer with the correct one above
Factor the following polynomial:
Factor the following polynomial:
Begin by rearranging like terms:
Now, factor out like terms:
Rearrange the polynomial:
Factor:
Begin by rearranging like terms:
Now, factor out like terms:
Rearrange the polynomial:
Factor:
Compare your answer with the correct one above
Factor the following polynomial:
Factor the following polynomial:
Begin by separating 
into like terms. You do this by multiplying 
and 
, then finding factors which sum to 
Now, extract like terms:
Simplify:
Begin by separating
Now, extract like terms:
Simplify:
Compare your answer with the correct one above
Factor the following polynomial:
Factor the following polynomial:
To begin, distribute the squares:
Now, combine like terms:
To begin, distribute the squares:
Now, combine like terms:
Compare your answer with the correct one above
Factor the following polynomial:
Factor the following polynomial:
Begin by extracting 
from the polynomial:
Now, distribute the cubic polynomial:
Begin by extracting
Now, distribute the cubic polynomial:
Compare your answer with the correct one above
Factor the following polynomial:
Factor the following polynomial:
Begin by extracting like terms:
Now, rearrange the right side of the polynomial by reversing the signs:
Combine like terms:
Factor the square and cubic polynomial:
Begin by extracting like terms:
Now, rearrange the right side of the polynomial by reversing the signs:
Combine like terms:
Factor the square and cubic polynomial:
Compare your answer with the correct one above
Factor the following polynomial:
Factor the following polynomial:
Begin by rearranging the terms to group together the quadratic:
Now, convert the quadratic into a square:
Finally, distribute the 
:
Begin by rearranging the terms to group together the quadratic:
Now, convert the quadratic into a square:
Finally, distribute the
Compare your answer with the correct one above
Factor the following polynomial:
Factor the following polynomial:
Begin by extracting 
from the polynomial:
Now, rearrange to combine like terms:
Extract the like terms and factor the cubic:
Simplify by combining like terms:
Begin by extracting
Now, rearrange to combine like terms:
Extract the like terms and factor the cubic:
Simplify by combining like terms:
Compare your answer with the correct one above
Factor the following polynomial:
Factor the following polynomial:
Begin by extracting 
from the polynomial:
Now, rearrange to combine like terms:
Extract the like terms and factor the cubic:
Simplify by combining like terms:
Begin by extracting
Now, rearrange to combine like terms:
Extract the like terms and factor the cubic:
Simplify by combining like terms:
Compare your answer with the correct one above