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
Answer:
1/4
Step-by-step explanation:
Distribute.
7 - 7y = -3y + 6
Get all ys on one side
7 = 4y + 6
Get constants all on one side.
1 = 4y
Divide
1/4 = y
Answer:
Step-by-step explanation:
The given function are;
f(x) = x² - 3·x - 12, and g(x) = -x - 12
Therefore;
g(-8) = -(-8) - 12 = 8 - 12 = -4
∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16
Therefore;
22/7. It's basically the same thing
