By remainder theorem:
f(x) = x³ - 2
factor, x - 1 = 0
x = 1,
Remainder = f(1)
f(x) = x³ - 2
f(1) = 1³ - 2 = 1 - 2 = -1.
Hence remainder is = -1.
Answer:
Step-by-step explanation:
It’s LJK

has characteristic equation

which has roots at

. The negative root has multiplicity 2. So the general solution is
Answer:
Greatest Common Factor is 
Step-by-step explanation:
Greatest Common Factor is the highest factor that will divide all the numbers. To find the Greatest common factor, first we need to find out the numbers that all the values have in common.
Factors of 4k=1, 2, 4 and k
Factors of 18k=1, 2 , 3, 6, 9, 18 and k
Factors of 12=1, 2, 3, 4, 6 and 12
Common factors are = 1 and 2.
Therefore,
Greatest Common Factor = 
=
Answer:
Your slope is -1
Step-by-step explanation:
Find the change in x and the change in y and put it in change in y over change in x.
Δx = -1 - -2 = 1
Δy = -1 - 0 = -1
Slope = rise over run = Change in y over change in x = Δy/Δx = -1/1
Therefore the slope is -1/1 which is written as just -1