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 : Factoring trinomials of the form x^4 + bx^2 + c Quiz
Polynomials : Factoring trinomials of the form x^4 + bx^2 + c Quiz
Quiz
*Theme/Title:
Factoring trinomials of the form x^4 + bx^2 + c
* Description/Instructions
This quiz focuses on factoring trinomials of the form
x^4 + bx^2 + c. The first step is to examine the constant term, c, and identify two factors of c, which when multiplied give c but when added give b. Then express the middle term, bx^2, as the sum of these two factors. Next factor the first two terms and factor the last two terms. The final step is to express as the product of two binomials,
(x^2 + p)(x^2 + q).
Example:
x^4 - x^2 - 110
The two factors which when multiplied give -110 but when added give -1 are 10 and -11, so express -x^2 as
10x^2 - 11x^2.
x^4 + 10x^2 - 11x^2 - 110, Now factor the GCF from the first two terms and then from the last two terms.
x^2(x^2 + 10) - 11(x^2 + 10)
(x^2 - 11)(x^2 + 10)
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/factoring_trinomials_of_the_form_x4__bx2__c/quiz5072.html">Factoring trinomials of the form x^4 + bx^2 + c</a>