Given:
The polynomial function is

To find:
The possible roots of the given polynomial using rational root theorem.
Solution:
According to the rational root theorem, all the rational roots and in the form of
, where, p is a factor of constant and q is the factor of leading coefficient.
We have,

Here, the constant term is 10 and the leading coefficient is 4.
Factors of constant term 10 are ±1, ±2, ±5, ±10.
Factors of leading term 4 are ±1, ±2, ±4.
Using rational root theorem, the possible rational roots are

Therefore, the correct options are A, C, D, F.
The movie should be 2 hours and 15 minutes long.
Answer:
(1,-2) and (0,-5) (There are an infinite amount more)
Step-by-step explanation:
The easiest way to find solutions is to plug in an x value. Let's try 1:
y = 3(1) - 5⇒y = 3 - 5⇒y = -2
(1,-2)
Let's try 0:
y = 3(0) - 5⇒y = 0 - 5 ⇒y = -5
(0,-5)
6x+2+6x<14
add 6x+6x
12x+2<14
subtract 2 from both sides
12x<12
divide by 12
x<1