Section 8.3 Deliberate Practice: Factor by Grouping
Algebra is a skill, which means it requires practice to become proficient. But it will take more than rote repetition to get there. Deliberate practice is the thoughtful repetition of a task. For each of these sections, you will be given a list of specific skills or ideas to focus on as you practice thinking through the problems.
Focus on these skills:
Write the original expression.
Visualize the grids, but try to do the calculations without drawing them.
Present your work legibly.
Worksheet Worksheet
Instructions: Factor by grouping.
1.
Factor \(x^2 + 3x - 2x - 6\) by grouping.
2.
Factor \(x^2 - 5x + 3x - 15\) by grouping.
3.
Factor \(x^2 - 2x - 4x + 8\) by grouping.
4.
Factor \(x^2 + 4x + 3x + 12\) by grouping.
5.
Factor \(2x^2 - 8x - 3x + 12\) by grouping.
6.
Factor \(2x^2 + 5x - 4x - 10\) by grouping.
7.
Factor \(3x^2 - 6x - 7x + 14\) by grouping.
8.
Factor \(x^3 + 3x^2 - 2x - 6\) by grouping.
9.
Factor \(2x^3 - 3x^2 - 6x + 9\) by grouping.
10.
Factor \(x^3 - 4x^2 + 4x - 16\) by grouping.