To factor the equation below in order to solve, we can use factoring by grouping. The first step is to multiply A*C and find the factors of that product. What does A*C equal in this equation?

Question

3x2+13x+12=0
3
𝑥
2
+
13
𝑥
+
12
=
0


(1 point)
Responses

12
12

36
36

13
13

3

Answer 1

In the given quadratic equation \(3x^2 + 13x + 12 = 0\), we can identify \(A\) and \(C\) as follows:

• \(A = 3\) (the coefficient of \(x^2\))
• \(C = 12\) (the constant term)

Now, we multiply \(A\) and \(C\):

\[ A \times C = 3 \times 12 = 36 \]

So, the correct answer is:

36