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^2 + bx + c where c is negative Quiz
Polynomials : Factoring trinomials of the form x^2 + bx + c where c is negative Quiz
Quiz
*Theme/Title:
Factoring trinomials of the form x^2 + bx + c where c is negative
* Description/Instructions
This quiz focuses on factoring trinomials of the form
x^2 + bx + c by examining the constant term c (where c is negative). 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. Because the constant term, c, is negative, one factor will be positive and the other negative. Then express the middle term, bx, 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 + p)(x+q).
Example:
x^2 + 3x - 10
The two factors which when multiplied give -10 but when added give 3 are 5 and -2, so express 3x as 5x - 2x.
x^2 + 5x - 2x - 10, Now factor the GCF from the first two terms and then from the last two terms.
x(x + 5) - 2(x + 5)
(x - 2)(x + 5)
Group:
Algebra
Algebra Quizzes
Topic:
Polynomials
Share
All Quizzes
To link to this page, copy the following code to your site:
<a href="https://www.softschools.com/quizzes/math/factoring_trinomials_of_the_form_x2_bx_c_where_c_is_negative/quiz5062.html">Factoring trinomials of the form x^2 + bx + c where c is negative</a>