Answer:
option 4
Step-by-step explanation:
(f*g)(x) =(x² + x+ 1)*(x² - x -1)
= x²*(x² - x -1) + x(x² - x -1) + 1*( x² - x -1)
= x²*x² - x²*x -x²*1 + x*x² - x*x -x*1 + x² - x -1
= x⁴ - x³ - x² +x³ - x² - x + x² - x -1
= x⁴ - x³ + x³ - x² - x² + x² - x - x - 1
= x⁴ - x² - 2x - 1
Step-by-step explanation:

First, let's move the
to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:

From here, since the coefficient of the
term is
, we know the square will be
(since
it's half of
).
To complete this square, we will need to add
to both sides of the equation:



Now we can take the square root of both sides to figure out the solutions to
:


Answer: Population
Step-by-step explanation: