Answer:
c. (x + 3)
Step-by-step explanation:
using factor theorem
if x - 3 is a factor then p(a) = 0
p(a)= x^3 - 3x^2 - 4x + 12
a.(x-3)
p(3) = (3)^3 - 3(3)^2 - 4(3) + 12
= 27 - 27 - 12 + 12
= 0
therefore x-3 is a factor
b.(x + 2)
p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12
= -8 -12 + 8 + 12
,= 0
therefore x + 2 is a factor
c.(x + 3)
p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12
= -27 -27 + 12 + 12
= -30
therefore x + 3 is not a factor
d.(x-2)
p(2) = (2)^3 - 3(2)^2 - 4(2) + 12
= 8 -12 - 8 + 12
= 0
therefore x - 2 is a factor
21/50
21/50 is in its most simple form because it cannot be broken down any further.
Answer: 21/50
-f - 5(2f - 3)
1. -5 * 2f = -10f
2. -5 * -3 = 15
3. -f - 10f + 15
4.Add like terms,
-f - 10f = -11f.
5.-11f + 15
Answer: -11f + 15
Answer:

Step-by-step explanation:
This is asking you to write the equation in <em>slope-intercept</em> form:

where:
- m is the slope
- b is the y-intercept
- x and y are any corresponding coordinate points (x,y)
You need to find the slope of the two given points using:

Insert the values:

The slope of the given line is -1. Insert this value into the equation:

Now insert one of the given coordinate points as x and y to solve for b:

The y-intercept is 9. Insert the value:

:Done