Section 9.3 Deliberate Practice: Factoring Quadratic Polynomials
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.
Mentally state the "Multiply to" and "Add to" properties. You can write them out as scratch work, if necessary.
Present your work legibly.
Worksheet Worksheet
Instructions: Use the \(ac\) method to factor using a complete presentation.
1.
Use the \(ac\) method to factor \(x^2 + 2x - 15\text{.}\)
2.
Use the \(ac\) method to factor \(x^2 - 4x + 4\text{.}\)
3.
Use the \(ac\) method to factor \(x^2 + 7x + 12\text{.}\)
4.
Use the \(ac\) method to factor \(x^2 - 9\text{.}\)
5.
Use the \(ac\) method to factor \(x^2 + 8x + 16\text{.}\)
6.
Use the \(ac\) method to factor \(x^2 - x - 42\text{.}\)
7.
Use the \(ac\) method to factor \(2x^2 + 5x - 3\text{.}\)
8.
Use the \(ac\) method to factor \(3x^2 - 13x - 10\text{.}\)
9.
Use the \(ac\) method to factor \(2x^2 - 3x - 20\text{.}\)
10.
Use the \(ac\) method to factor \(4x^2 + 4x - 15\text{.}\)