Question

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

Answer 1

The given quadratic equation is:

\[ x^2 + 4x + 3 = 0 \]

In the standard form of a quadratic equation \( ax^2 + bx + c = 0 \), the coefficients are identified as follows:

- \( a \) is the coefficient of \( x^2 \), which is **1** in this case.
- \( b \) is the coefficient of \( x \), which is **4** in this case.
- \( c \) is the constant term, which is **3** in this case.

To find one solution to the equation, we can either factor it or use the quadratic formula. The equation factors to:

\[ (x + 1)(x + 3) = 0 \]

Setting each factor to zero:

1. \( x + 1 = 0 \implies x = -1 \)
2. \( x + 3 = 0 \implies x = -3 \)

One solution to the equation could be **-1** or **-3**.

So the completed statements are:

The value of a is **1**.

The value of b is **4**.

The value of c is **3**.

One solution to the equation is **-1** (or you could also state **-3**).