Actually,
you did not upload an image with a task — the image you provided is a
promotional graphic for a printable educational worksheet titled:
>
“Printable Quadratics: Factor (a NOT 1) — Football Theme Coloring Page”
This is
not a math problem to solve, but rather
an advertisement or preview of a teaching resource designed for students to practice factoring quadratic expressions where the leading coefficient *a* is
not equal to 1.
---
✔ What This Resource Is For:
Students are given quadratic expressions like:
- `6x² + 5x - 4`
- `12x² - 5x - 3`
- `16x² + 22x - 3`
They must
factor each expression, then match their answer to a key (e.g., if they get `(2x + 1)(3x - 4)`, they might color all sections labeled “11” pink).
The coloring page has a
football theme — so when colored correctly, it reveals a football or related design.
---
❗ Why There’s No Problem to Solve Here:
You asked to “solve the problem and explain the solution,” but
no actual math problem was uploaded — only the cover/promo image of the worksheet.
If you want help solving a specific quadratic factoring problem from this worksheet, please:
✔ Upload one of the problems from the worksheet (e.g., #2: `6x² + 5x - 4`)
OR
✔ Type out the quadratic expression you’d like factored.
---
🧮 Example: Let’s Factor One Problem From the Image
Looking at the sample in the image:
>
#2: `6x² + 5x - 4`
We’ll factor this using the
“AC method” since *a ≠ 1*.
#### Step 1: Multiply *a × c*
→ `6 × (-4) = -24`
#### Step 2: Find two numbers that multiply to -24 and add to *b = 5*
→ Numbers:
8 and -3 because `8 × (-3) = -24` and `8 + (-3) = 5`
#### Step 3: Rewrite middle term
→ `6x² + 8x - 3x - 4`
#### Step 4: Group and factor
→ `(6x² + 8x) + (-3x - 4)`
→ `2x(3x + 4) -1(3x + 4)`
→ `(2x - 1)(3x + 4)`
✔ Final Answer:
`(2x - 1)(3x + 4)`
In the coloring activity, if this answer corresponds to, say, number
11, you’d color all regions labeled “11” with the assigned color (maybe pink, as shown in the example).
---
📌 Summary:
- You shared a
preview image, not a solvable problem.
- The worksheet teaches factoring quadratics where
a ≠ 1.
- If you provide a specific problem from the sheet, I’ll walk you through factoring it step-by-step!
- Example solved: `6x² + 5x - 4 = (2x - 1)(3x + 4)`
Let me know which problem you’d like to tackle next! ⚽📚
Parent Tip: Review the logic above to help your child master the concept of factoring when a is not 1 worksheet.
