Answer:
<em>19</em>
Step-by-step explanation:
 has a factor
 has a factor  and
 and 
when divided by  , remainder is 20.
, remainder is 20.
To find:Remainder when divided by (x-1)  ?
Solution:
 is a factor
 is a factor 
 when we put this value of x to the function, it will become 0.
 when we put this value of x to the function, it will become 0.
i.e.

Remainder is 20 when f(x) is divided by 
i.e.


Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

By equation (1):

So, the equation becomes:


So, when divided by (x-1), remainder will be <em>19</em>.
 
        
             
        
        
        
Answer:
6x² + 5x - 6
Step-by-step explanation:
Given
(2x + 3)(3x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(3x - 2) + 3(3x - 2) ← distribute both parenthesis
= 6x² - 4x + 9x - 6 ← collect like terms
= 6x² + 5x - 6
 
        
                    
             
        
        
        
Answer:
8/32=0.25
Step-by-step explanation:
 
        
             
        
        
        
Hey there!
Let's call this "number" x. We want four times the sum of this number and 15 to equal at least 120.
Therefore, we want this number times four plus fifteen to be greater than or equal to 120. We have:

Distribute:

Subtract:

Divide:

Your answer is C.
Hope this helps!