Posted by **rock** on Wednesday, July 20, 2011 at 9:54am.

when ax^2+bx+c is divided by x-1, the remainder is 10 if the same poly. is divided by x+2 the remainder is 1. x+1 is a factor of the polynomial. Find a,b, and c.

- college algeb -
**Reiny**, Wednesday, July 20, 2011 at 12:59pm
let f(x) = ax^2 + bx + c

given f(1) = 10

10 = a + b + c (#1)

given f(-2) = 1

1 = 4a - 2b + c (#2)

given f(-1) = 0 , .... (it said x+1 is a factor)

0 = a - b + c (#3)

#1 - #3

10 = 0 + 2b + 0

b = 5

#2 - #3

1 = 3a - b + 0 , but b=5

6 = 3a

a = 2

in #1

2 + 5 + c = 10

c = 3

a=2, b=5, c=3

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