Toggle navigation
Pre-K
Kindergarten
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
Middle School
High School
Phonics
Fun Games
Math
Math Games
Math Worksheets
Algebra
Language Arts
Science
Social Studies
Literature
Languages
Themes
Quizzes
Timelines
Login
Home
>
Quizzes
>
Algebra Quizzes
> Polynomials : Recognizing trinomial squares Quiz
Polynomials : Recognizing trinomial squares Quiz
Quiz
*Theme/Title:
Recognizing trinomial squares
* Description/Instructions
This quiz focuses on recognizing trinomial squares. A trinomial that is the square of a binomial is called a trinomial square, or a perfect-square trinomial. There are two types of expressions that can be written as trinomial squares:
A^2 + 2AB + B^2 = (A + B)^2
A^2 - 2AB + B^2 = (A - B)^2
To recognize whether or not an expression is a trinomial square, the first step is to examine the two expressions A^2 and B^2. These two expressions must be 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 there is no minus sign before A^2 or B^2. The final step is to multiply A and B and double the result. If this gives the remaining term or its opposite, then this is a trinomial square.
Example:
x^2 + 8x + 16
We know that x^2 and 16 are squares.
There is no minus sign before x^2 or 16
If we multiply the square roots, x and 4, and double the product, we get the remaining term: 2*x*4 = 8x.
Therefore, x^2 + 8x + 16 = (x + 4)^2 is a trinomial square.
Group:
Algebra
Algebra Quizzes
Topic:
Polynomials
Share
Related Links
All Quizzes
To link to this page, copy the following code to your site:
<a href="http://www.softschools.com/quizzes/algebra/recognizing_trinomial_squares/quiz5389.html">Recognizing trinomial squares</a>