Question

Question 1. What is the quotient: (2x2 + 12x + 18) ÷ (x + 3) ? A) 2x + 6. B) 2x – 6. C) 2x + 4. D) 2x – 4, r = 1. Question 2. If f(x) = 3x – 1 and g(x) = x2 – 2x – 2, what is f(g(x)) ?. A) x2 – 5x + 2. B) x2 + x – 3. C) 3x2 – 6x – 7. D) 3x2 – 5x – 3.

Answer 1

1.
( 2 x² + 12 x + 18 ) : ( x + 3 ) =  2 x + 6

( - 3 ) · |   2      12    18 |
            |           -6   -18 |
            ----------------------
               2        6       0 

Answer: A )  2 x + 6 

2 . 
f ( ( g ( x ) ) = 3 ( x² - 2 x - 2 ) - 1 = 3 x² - 6 x - 6 - 1 = 3 x² - 6 x - 7
Answer: C ) 3 x² - 6 x - 7