Answer:
d) 2x²(6x³ + 3x + 4)
Step-by-step explanation:
In order to factor the given polynomial, you need to find the greatest common factor of all three terms:
The greatest common factor is '2' and the variable is x². If we factor out 2x² from each term, we get:
2x²(6x³ + 3x + 4)
Answer:
x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}
Step-by-step explanation:
The equation can be put into standard form by adding 1:
2cos²(x) +3cos(x) +1 = 0
(2cos(x) +1)(cos(x) +1) = 0
Values of cos(x) that make this true* are ...
cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3
cos(x) = -1 . . . . . . . . . . . true for x=π
__
A graphing calculator can be helpful here, too.
_____
* from your knowledge of the short table of trig functions and their signs in different quadrants
