Question

8. An equation is shown. x2+4x+3=0
. Complete the statements.

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(4 points)
The value of a is
1
.
The value of b is
4
.
The value of c is
3
.
One solution to the equation is
-3
.

Question 2
9. Using the quadratic equation above, fill in for a, b, and c.

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(3 points)
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
1
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
4
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
3
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
1
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
3
Question 3
10. What is one solution of the above quadratic equation?

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(1 point)
Responses

(−3,0)
open paren negative 3 comma 0 close paren

(−4,0)
open paren negative 4 comma 0 close paren

(0,3)
open paren 0 comma 3 close paren

(−2,−1)
open paren negative 2 comma negative 1 close paren
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Answer 1

Let's analyze the quadratic equation given, which is \( x^2 + 4x + 3 = 0 \).

**Question 1: Completing the statements:**
- The value of \( a \) is **1** (the coefficient of \( x^2 \)).
- The value of \( b \) is **4** (the coefficient of \( x \)).
- The value of \( c \) is **3** (the constant term).
- One solution to the equation is **-3** (you can verify this by factoring the equation or using the quadratic formula).

**Question 2: Using the quadratic equation above, fill in for a, b, and c:**
- **a** = **1**
- **b** = **4**
- **c** = **3**

**Question 3: What is one solution of the above quadratic equation?**
To find the other solution, we can factor the quadratic:
\[
x^2 + 4x + 3 = (x + 1)(x + 3) = 0.
\]
Thus, the solutions are \( x + 1 = 0 \) (gives \( x = -1 \)) and \( x + 3 = 0 \) (gives \( x = -3 \)).

Given the options:
1. \((-3,0)\)
2. \((-4,0)\)
3. \((0,3)\)
4. \((-2,-1)\)

The correct response for one solution of the equation \( x^2 + 4x + 3 = 0 \) is \((-3,0)\).

In summary:
- **Question 1** answers: a = 1, b = 4, c = 3, one solution = -3
- **Question 2**: Fill a = 1, b = 4, c = 3
- **Question 3**: One solution is (-3, 0).