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)

Dennis070sinneD Mar 13, 2021

#1**+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:

ax^{2 }+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

ElectricPavlov Mar 13, 2021