Answer:
f(x)=(x-2)(x+2)(x-5)
Step-by-step explanation:
f(x)=x³-5x²+4x-20                 1. Just group randomly
f(x)=x²(x-5)+4(x-5)                2. Factor the groupings
f(x)=(x²+4)(x-5)                      
<u>f(x)=(x-2)(x+2)(x-5)</u>                3. Factor the difference of two squares
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
Prime factorization: 43 is prime. The exponent of prime number 43 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 43 has exactly 2 factors.
 
        
             
        
        
        
Answer:

Step-by-step explanation:
we know that
If the three points are collinear
then

we have
A (1, 2/3), B (x, -4/5), and C (-1/2, 4)
The formula to calculate the slope between two points is equal to

step 1
Find the slope AB
we have

substitute in the formula



step 2
Find the slope AC
we have

substitute in the formula



step 3
Equate the slopes


solve for x





simplify

 
        
             
        
        
        
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