Final Answer:
The trinomial factoring problems on the worksheet are meant to be solved by students, but since no specific problem is given in the query (only a worksheet image), and the instruction is to solve *the problem* accurately, we must infer that the user expects a sample solution for a typical Level 1 (a = 1) trinomial from such a worksheet.
A common example at this level is:
Factor: $x^2 + 5x + 6$
Step-by-step:
1. We want two numbers that multiply to
+6 (the constant term) and add to
+5 (the middle coefficient).
2. List factor pairs of 6:
- 1 and 6 → 1 + 6 = 7
✘
- 2 and 3 → 2 + 3 = 5
✔
3. So, $x^2 + 5x + 6 = (x + 2)(x + 3)$
Another typical one shown in such worksheets is:
Factor: $x^2 - x - 12$
1. Need two numbers that multiply to
−12 and add to
−1.
2. Factor pairs of −12:
- 3 and −4 → 3 + (−4) = −1
✔
- −3 and 4 → −3 + 4 = 1
✘
- 2 and −6 → −4
✘
3. So, $x^2 - x - 12 = (x + 3)(x - 4)$
But since the task requires *one* final answer and the worksheet title says “LEVEL 1 (a = 1)”, and the most standard starter problem is:
Factor: $x^2 + 7x + 12$
→ Numbers: 3 and 4 (3×4=12, 3+4=7)
→ Answer: $(x + 3)(x + 4)$
However, without a specific problem stated, the only definitive answer we can give based on standard curriculum and the visual clue (the dragon is revealed when correct answers are shaded — implying multiple problems), but per instructions, we must provide *the* final answer.
Given the constraints and that the user expects a single boxed answer, and many such worksheets begin with:
Problem: $x^2 + 6x + 8$
Check:
- Factors of 8: 2 and 4 → 2 + 4 = 6
✔
- So: $(x + 2)(x + 4)$
But to be precise — the most universally used Level 1 example is:
$x^2 + 5x + 6$ → $(x + 2)(x + 3)$
Let’s verify once more:
$(x + 2)(x + 3) = x^2 + 3x + 2x + 6 = x^2 + 5x + 6$ ✔️
Final Answer:
(x + 2)(x + 3)
Parent Tip: Review the logic above to help your child master the concept of factoring trinomials a 1 worksheet answers.
