# MA.912.A.4.3 Factoring Polynomials

## Rationals-Discrete

Sections 8-1 to 8-3
Pages 471-489

## What You Need To Know...

Factor polynomial expressions.

1. The benchmark will be assessed using MC (Multiple Choice) items.
2. Students will completely factor polynomial expressions, which may include a greatest common factor, difference of two squares, and trinomials.
3. Items should be set in either real-world or mathematical contexts.
4. Distractors may include expressions that are equivalent to the correct answer, but are not completely factored.

## Example One

Members of the art club want to raise money for their next field trip.  They plan to decorate greeting cards with glitter and origami animals made of origami paper.  They wrote the expression below to help calculate their total expenses.

(np + ng) + nc

where:

c = cost of one greeting card
g = cost of glitter per card
p = cost of origami animals per card
n = number of cards

Which of the following expressions is equivalent to the expression above?

A. n(p + g + c)
B. n(p + g) + c
C. 3n(p + g) + c
D. 3n(p + g + c)

## Example Two

If , which of the following shows the expression below in simplest form? A.  3(x + 9)
B.  3(x – 3)
C.  3(x + 3)
D.  3(x – 9)

## Example Three

The area of a rectangle is 2x2 - 7x - 15.  Which of the following shows possible dimensions of the rectangle? Greatest Common Factor
Factor by Grouping 