Posted by rock on Wednesday, July 20, 2011 at 9:54am.
when ax^2+bx+c is divided by x1, 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
Answer This Question
Related Questions
 math  1.) when the expression 4x^23x8 is divided by xa, the remainder is 2. ...
 Math adv function  An unknown polynomial f(x) of degree 37 yields a remainder ...
 Math  How many integers between 200 and 500 inclusive leave a remainder 1 when ...
 Math  How many integers bewteen 200 and 500 inclusive leave a remainder 1 when ...
 Algebra  If p(x) is a polynomial and is divided by (xk) and a remainder is ...
 adv function  an unknown polynomial f(x) of degree 32 yields a remainder of 1 ...
 Math  repost for Anonymous  Can someone show me the steps to these questions (...
 algebra  A polynomial f(x) of degree 3 leaves a remainder of 6 when divided by...
 Math  Find the least positive integer that leaves the remainder 3 when divided ...
 math  When a polynomial is divided by (x+2), the remainder is 19. When the ...
More Related Questions