+0  
 
+4
53
3
avatar+79 

Let f(x)  be a polynomial such that  f(0)=4 f(1)=5 and f(2)=10 Find the remainder when f(x) is divided by x(x-1)(-2)

 Mar 13, 2021
 #1
avatar+31228 
+1

I had a long answer typed in for this....then hit a wrong keyboard key and it all vanished...here is the condensed form

 

here may be an easier way ...bet here is A way:

 

ax2 +bx +c = 0

When you sub in x = 0    you will find  c = 4

then when you sub in x= 1    you will find    a + b = 1

  sub in x=2     you find    4a + 2b = 6  

      solve thse two equations to find a = 2    and b = -1

 

so you have    2x^2 -x + 4 = 0      divide by    -2x^2 +2x     to find remainder = x+4    

 Mar 13, 2021
 #2
avatar+311 
0

ctrl+z

Varxaax  Mar 13, 2021
 #3
avatar+79 
+3

oh, thanks

 Mar 14, 2021

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