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> Polynomials : Recognizing differences of squares Quiz
Polynomials : Recognizing differences of squares Quiz
Quiz
*Theme/Title:
Recognizing differences of squares
* Description/Instructions
This quiz focuses on recognizing differences of squares. A difference of squares is an expression like the following: A^2 - B^2. The following polynomials are differences of squares: b^2 - 49, 4t^2 - 9, c^2 - 25d^2.
For an expression to be written as a difference of squares, it must be of the form:
A^2 - B^2 = (A + B)(A - B)
To recognize whether or not an expression is a difference of squares, the first step is to make sure there are two expressions. The next step is to examine the two expressions A^2 and B^2 and make sure these two expressions are squares, for example, 9, y^2, 25x^4, 49t^2. (When the coefficient is a perfect square and the power of the variable is even, then the expression is a perfect square.) The next step is to make sure the two terms have different signs.
Example:
9x^2 - 64
We know that 9x^2 and 64 are squares.
The two terms have different signs. Therefore this is a difference of squares, which can be written as:
(3x - 8)(3x + 8)
Group:
Algebra
Algebra Quizzes
Topic:
Polynomials
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