2x^2 - 8x - 24
First, we can factor a 2 out of this expression to simplify it.
2(x^2 - 4x - 12)
Now, we can try factoring this two ways: by using the quadratic formula, or by using the AC method.
We're gonna try using the AC method first.
List factors of -12.
1 * -12
-1 * 12
2 * -6
-2 * 6 (these digits satisfy the criteria.)
Split the middle term.
2(x^2 - 2x + 6x - 12)
Factor by grouping.
2(x(x - 2) + 6(x - 2)
Rearrange terms.
<h3><u>(2)(x + 6)(x - 2) is the fully factored form of the given polynomial.</u></h3>
Answer:
B. The probability of getting a red convertible is 0.10.
Step-by-step explanation:
Independent events:
Two events, A and B, are independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:
In this question:
Event A: Red car -> 0.25 probability
Event B: Convertible car -> 0.4 probability
Independent if:
The probability of getting a red convertible car is:
Thus, the correct answer is given by option B.