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Period: . ALGEBRA 2. WORKSHEET FACTORING PERFECT SQUARE TRINOMIALS. Factor each of the following completely. 1) x2 + 6x + 9.

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There are three simple steps to remember while factoring trinomials: Identify the values of b (middle term) and c (last term). Find two numbers that add to b and multiply to c. Use these numbers to factor the expression to obtain the factored terms.

A perfect square trinomial is a trinomial that can be written as the square of a binomial. Recall that when a binomial is squared, the result is the square of the first term added to twice the product of the two terms and the square of the last term. We can use this equation to factor any perfect square trinomial.

When an expression has the general form a²+2ab+b², then we can factor it as (a+b)². For example, x²+10x+25 can be factored as (x+5)².

The general form of quadratic trinomial formula in one variable is ax2 + bx + c, where a, b, c are constant terms and neither a, b, or c is zero. For the value of a, b, c, if b2 - 4ac > 0, then we can always factorize a quadratic trinomial. It means that ax2 + bx + c = a(x + h)(x + k), where h and k are real numbers.

0:00 0:54 So what times will give us x squared well just x times x and 1 times 4 give us negative 24. AndMoreSo what times will give us x squared well just x times x and 1 times 4 give us negative 24. And together they add up to be negative 5. The correct combination is negative 8. And positive 3.

2:15 11:03 So is it a perfect square trinomial.MoreSo is it a perfect square trinomial.

0:39 11:03 And finally 3 times stream is 9. So if you add the two middle term 3x plus 3x is 6x. So you get theMoreAnd finally 3 times stream is 9. So if you add the two middle term 3x plus 3x is 6x. So you get the original expression x squared plus 6x plus 9. So we know this is the answer.

General Advice for Factoring Polynomials. Always factor out the greatest common factor first. If the polynomial to be factored is a binomial, then it may be a difference of two squares or a sum or difference of two cubes (remember that a sum of two squares does not factor).

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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232