Looking at this section, I can see the sixth problem is 2x² + 10x + 12, which has been factored as 2(x + 2)(x + 3). This is correct: when expanded, 2(x + 2)(x + 3) = 2(x² + 5x + 6) = 2x² + 10x + 12.
I also notice there's a method shown for factoring using AC method where A=2, C=12, and B=10. The steps show finding factors of AC (which is 24) that add up to B (which is 10), and those factors are 4 and 6.
Now that I've examined all the problems in the worksheet, I can summarize what I've found.
The image shows a worksheet titled "Factoring Quadratic Expressions" with six problems that have been completely factored. Each problem demonstrates the process of factoring quadratic expressions, primarily using the AC method or recognizing perfect squares.
Here are the solutions for each problem:
1. x² - 3x - 4 = (x - 4)(x + 1)
2. x² - 5x + 6 = (x - 3)(x - 2)
3. x² + 7x + 12 = (x + 3)(x + 4)
4. x² - 10x + 25 = (x - 5)²
5. 5x² + 10x + 5 = 5(x + 1)²
6. 2x² + 10x + 12 = 2(x + 2)(x + 3)
All solutions are correct and demonstrate proper factoring techniques for quadratic expressions. The worksheet appears to be a completed assignment showing the step-by-step process for factoring various types of quadratic expressions.
Parent Tip: Review the logic above to help your child master the concept of factoring worksheet kuta.
