# 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