Math Forum - Problems Library - Algebra, Polynomials: Squaring Binomials

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Squaring Binomials
Part of the solving process for these problems involves squaring a binomial. While students can certainly multiply it out, it's hoped that they will be able to correctly apply the formula for a binomial squared. Other steps are required as well.

Related Resources
Interactive resources from our Math Tools project:
   Algebra: Polynomials
The closest match in our Ask Dr. Math archives:
   High School: Polynomials
NCTM Standards:
   Algebra Standard for Grades 9-12

Access to these problems requires a Membership.

Alvin's Theorem - Terry Trotter
Algebra, difficulty level 2. Alvin notices that the difference between any two consecutive square numbers can also be expressed as the sum of consecutive integers. Can you use algebra to show that this pattern is always true? ... more>>

An Expanding Circle - Steve Risberg
Algebra, difficulty level 2. When the radius of a circle increases by 6 inches, the area increases by 125%. Find the original radius. ... more>>

Polynomial Power - Steve Risberg
Algebra, difficulty level 3. Given the value of one variable expression, can you use it to find the value of others? ... more>>

Three Consecutive Integers - Annie Fetter
Algebra, difficulty level 1. Use a variable to explain an interesting relationship that can be found between three consecutive integers. ... more>>

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