# Quadratic Pair and Share WorksheetThis educational worksheet is designed to help students practice factoring quadratic equations and comparing results with a partner.## Structure### Headers- **Partner A**: Write the name of the first partner.- **Partner B**: Write the name of the second partner.### SectionsEach row includes:- **Partner A Problem**: A quadratic expression for Partner A to factor.- **Venn Diagram of Answers**: Space to write common factors between partners' answers.- **Partner B Problem**: A quadratic expression for Partner B to factor.### Problems and Answers1. **First Row** - **Partner A**: \( x^2 - x - 12 \) - Factored: \((x - 4)(x + 3)\) - **Venn Diagram**: - Left circle: \( x + 3 \) - Common area: \( x - 4 \) - Right circle: \( x + 7 \) - **Partner B**: \( x^2 + 3x - 28 \) - Factored: \((x + 7)(x - 4)\)2. **Second Row** - **Partner A**: \( x^2 + 7x + 10 \) - **Venn Diagram**: (Not filled) - **Partner B**: \( x^2 - 4x - 12 \)3. **Third Row** - **Partner A**: \( x^2 - 7x - 8 \) - **Venn Diagram**: (Not filled) - **Partner B**: \( x^2 - 2x - 3 \)4. **Fourth Row** - **Partner A**: \( x^2 + 14x + 24 \) - **Venn Diagram**: (Not filled) - **Partner B**: \( x^2 + 9x - 36 \)### InstructionsFor each pair, both partners should factor their respective quadratic expressions and fill in the Venn diagram with any common factors. Use the space provided to compare and share your findings.---This exercise aims to improve factoring skills and encourage collaboration between partners in solving quadratic equations.

Quadratic Pair and Share Partner A: Partner B: Partner B Partner A Venn Diagram of Answers Com mon x2 + 3x – 28 x2 –x – 12 (メー4)(X+ 3 ) X+3 X-4 メ+子 (メ+7 )(x-4) x2 + 7x + 10 x2 – 4x – 12 x2 – 7x - 8 x2 – 2x – 3 x2 + 14x + 24 x² + 9x – 36

Quadratic Pair and Share Partner A: Partner B: Partner B Partner A Venn Diagram of Answers Com mon x2 + 3x – 28 x2 –x – 12 (メー4)(X+ 3 ) X+3 X-4 メ+子 (メ+7 )(x-4) x2 + 7x + 10 x2 – 4x – 12 x2 – 7x - 8 x2 – 2x – 3 x2 + 14x + 24 x² + 9x – 36

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

# Quadratic Pair and Share Worksheet

This educational worksheet is designed to help students practice factoring quadratic equations and comparing results with a partner.

## Structure

### Headers
- **Partner A**: Write the name of the first partner.
- **Partner B**: Write the name of the second partner.

### Sections
Each row includes:
- **Partner A Problem**: A quadratic expression for Partner A to factor.
- **Venn Diagram of Answers**: Space to write common factors between partners' answers.
- **Partner B Problem**: A quadratic expression for Partner B to factor.

### Problems and Answers

1. **First Row**
- **Partner A**: \( x^2 - x - 12 \)
- Factored: \((x - 4)(x + 3)\)
- **Venn Diagram**:
- Left circle: \( x + 3 \)
- Common area: \( x - 4 \)
- Right circle: \( x + 7 \)
- **Partner B**: \( x^2 + 3x - 28 \)
- Factored: \((x + 7)(x - 4)\)

2. **Second Row**
- **Partner A**: \( x^2 + 7x + 10 \)
- **Venn Diagram**: (Not filled)
- **Partner B**: \( x^2 - 4x - 12 \)

3. **Third Row**
- **Partner A**: \( x^2 - 7x - 8 \)
- **Venn Diagram**: (Not filled)
- **Partner B**: \( x^2 - 2x - 3 \)

4. **Fourth Row**
- **Partner A**: \( x^2 + 14x + 24 \)
- **Venn Diagram**: (Not filled)
- **Partner B**: \( x^2 + 9x - 36 \)

### Instructions

For each pair, both partners should factor their respective quadratic expressions and fill in the Venn diagram with any common factors. Use the space provided to compare and share your findings.

---

This exercise aims to improve factoring skills and encourage collaboration between partners in solving quadratic equations.

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