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

Question

. Complete the statements.(4 points)
The value of a is
.

The value of b is
.

The value of c is
.

One solution to the equation is
.

Question 2
9. Using the quadratic equation above, fill in for a, b, and c. (3 points)
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
Question 3
10. What is one solution of the above quadratic equation?(1 point)
Responses

(-3,0)
(-3,0)

(-4,0)
(-4,0)

(0,3)
(0,3)

(-2,-1)
(-2,-1)
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Answer 1

For the equation \( x^2 + 4x + 3 = 0 \):

Completing the statements:

1. The value of a is 1 (the coefficient of \( x^2 \)).
2. The value of b is 4 (the coefficient of \( x \)).
3. The value of c is 3 (the constant term).

Finding one solution to the equation:

To find the solutions of the equation, we can factor it or use the quadratic formula. The equation factors as follows:

\[ x^2 + 4x + 3 = (x + 1)(x + 3) = 0 \]

Setting each factor to zero gives us the solutions: \[ x + 1 = 0 \quad \Rightarrow \quad x = -1 \] \[ x + 3 = 0 \quad \Rightarrow \quad x = -3 \]

Thus, one solution to the equation is -3.

Answers for Question 3:

Among the provided response options, the correct response would be:

• (-3, 0)

Summary of your answers:

• Value of a: 1
• Value of b: 4
• Value of c: 3
• One solution of the equation: -3 (in the coordinate format, it's (-3, 0))