Busy. Please wait.
or

show password
Forgot Password?

Don't have an account?  Sign up 
or

Username is available taken
show password

why

Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.

By signing up, I agree to StudyStack's Terms of Service and Privacy Policy.


Already a StudyStack user? Log In

Reset Password
Enter the associated with your account, and we'll email you a link to reset your password.

Remove ads
Don't know
Know
remaining cards
Save
0:01
To flip the current card, click it or press the Spacebar key.  To move the current card to one of the three colored boxes, click on the box.  You may also press the UP ARROW key to move the card to the "Know" box, the DOWN ARROW key to move the card to the "Don't know" box, or the RIGHT ARROW key to move the card to the Remaining box.  You may also click on the card displayed in any of the three boxes to bring that card back to the center.

Pass complete!

"Know" box contains:
Time elapsed:
Retries:
restart all cards




share
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

  Normal Size     Small Size show me how

Factoring Polynomial

Types of Factoring

QuestionAnswer
Step 1 in Factoring . . . Always Look for Greatest Common Factor
Step 2 in Factoring Look at Number of Terms
Three types of Factorable Binomials Difference of Two Squares \\ Sum of Two Cubes \\ Difference of Two Cubes
Three types of Factorable Trinomials Perfect Square Trinomial // "Easy kind" (Leading Coefficient = 1) // "Harder kind" (Leading Cofficient Not = 1)
How do you attempt to factor polynomials with four terms? By Grouping
Identify: x^2 - y^2 Difference of Two Squares:(x+y)(x-y)
Identify: x^2 + y^2 Sum of Two Squares ~ PRIME!!
Identify: x^3 + y^3 Sum of Two Cubes: Binomial X Trinomial // (x + y)(x^2 - xy + y^2)
Identify: x^3 - y^3 Difference of Two Cubes: Binomial X Trinomial(x - y)(x^2 + xy +y^2)
Identify: x^2 + 2xy + y^2 Perfect Square Trinomial: (x + y) ^ 2
Identify: x^2 + bx + c "Easy Kind": Look for factors of c that have a sum/difference of b.
Identify: ax^2 + bx + c "Harder Kind": Look for factors of a x c that have a sum/difference of b. Rewrite middle term and factor by grouping.
Step 3 in Factoring Make sure you have factored completely.
Step 4 in Factoring . . . Always Check your answer!!!
Factor: x^2 - 49 Diffence of Two Squares:(x + 7)(x - 7)
Factor: x^2 - 6x + 9 Perfect Square Trinomial:(x - 3)^2
Factor: x^3 - 27 Difference of Two Cubes:(x - 3)(x^2 + 3x + 9)
Factor: x^2 + 25 Sum of Two Squares:PRIME!!!
Factor: 9x^2 - 64 Difference of Two Squares:(3x + 4)(3x - 4)
Factor: 9x^2 - 48x + 64 Perfect Square Trinomial:(3x - 8)^2
Factors of 24 that have a sum of 10 4 and 6
Factors of 24 that have a difference of 10 12 and 2
Factors of 6 that have a sum of 5 2 and 3
Factors of 6 that have a difference of 5 6 and 1
Factors of 12 that have a sum of 7 3 and 4
Factors of 36 that have a difference of 9 3 and 12
Factors of 36 that have a sum of 15 3 and 12
Factors of 36 that have a difference of 16 2 and 18
Factors of 36 that have a sum of 20 2 and 18
Factors of 36 that have a difference of 5 4 and 9
Factors of 36 that have a sum of 13 4 and 9
First step in factoring 4x^2 - 16 Factor out a 4
Factor: 25x^2 + 81 Sum of Two Squares: PRIME!!
Created by: milesdl