Question

Given P(x) = x + 2 and R(x) = x - 3x² - 6x - 2, find Q(x) in the equation P(x) * Q(x) = R(x).

A. X² - 4x + 2
B. X - 5x + 4
C. X² + 4x - 2
D. X² + 4x + 2

Answer 1

To find Q(x) in the equation P(x) * Q(x) = R(x), we need to divide R(x) by P(x). The answer is D. X² + 4x + 2.

Step-by-step explanation:

To find Q(x) in the equation P(x) * Q(x) = R(x), we need to divide R(x) by P(x). Let's substitute the given functions:

P(x) = x + 2

R(x) = x - 3x² - 6x - 2

Now, we divide R(x) by P(x):

Q(x) = R(x) / P(x)

Q(x) = (x - 3x² - 6x - 2) / (x + 2)

Therefore, the answer is D. X² + 4x + 2.