Task 1. How many solutions does each equation have? what are the solutions? 1. a2 = 9 2. x² = 0 3. 2? – 1 = 3 %3D 4. 2x² 50 %3D 5. (x + 1)(x + 1) = 0 6. #(x – 6) = 0 7. (x – 1)(x – 1) = 4 8. 12x2 + 24x = 0 9. x2 - 8x + 15 = 0 10. x2 - 8x + 15 = 65

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Lesson 4.5: Solving Polynomial Equations of Second Degrees. Connecting Zeros, Factors, and X-Intercepts.

**Date and Time:** Sunday, April 11, 2021, 7:52 PM

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#### Learning Targets:
- **Objective 1:** I know how to find the zeros of a polynomial function of the second degree using a graph or algebra.
- **Objective 2:** I know how the zeros of a polynomial function relate to the factored form of a polynomial and to x-intercepts.

---

#### Task 1:
**Prompt:** How many solutions does each equation have? What are the solutions?

1. \(x^2 = 9\)
   
2. \(x^2 = 0\)
   
3. \(x^2 - 1 = 3\)
   
4. \(2x^2 = 50\)
   
5. \((x + 1)(x + 1) = 0\)
   
6. \(x(x - 6) = 0\)
   
7. \((x - 1)(x - 1) = 4\)
   
8. \(12x^2 + 24x = 0\)
   
9. \(x^2 - 8x + 15 = 0\)
   
10. \(x^2 - 8x + 15 = 65\)

---

In this task, students are expected to identify the number of solutions for each quadratic equation and solve for the values of \(x\) that satisfy each equation. Common techniques include factoring, using the quadratic formula, and graphing to find the zeros or x-intercepts.
Transcribed Image Text:### Lesson 4.5: Solving Polynomial Equations of Second Degrees. Connecting Zeros, Factors, and X-Intercepts. **Date and Time:** Sunday, April 11, 2021, 7:52 PM --- #### Learning Targets: - **Objective 1:** I know how to find the zeros of a polynomial function of the second degree using a graph or algebra. - **Objective 2:** I know how the zeros of a polynomial function relate to the factored form of a polynomial and to x-intercepts. --- #### Task 1: **Prompt:** How many solutions does each equation have? What are the solutions? 1. \(x^2 = 9\) 2. \(x^2 = 0\) 3. \(x^2 - 1 = 3\) 4. \(2x^2 = 50\) 5. \((x + 1)(x + 1) = 0\) 6. \(x(x - 6) = 0\) 7. \((x - 1)(x - 1) = 4\) 8. \(12x^2 + 24x = 0\) 9. \(x^2 - 8x + 15 = 0\) 10. \(x^2 - 8x + 15 = 65\) --- In this task, students are expected to identify the number of solutions for each quadratic equation and solve for the values of \(x\) that satisfy each equation. Common techniques include factoring, using the quadratic formula, and graphing to find the zeros or x-intercepts.
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