Question 1011718: If x^2 - 3x + 1 is divided by x + 2c, the remainder is -1. What is c? Thank you. Found 2 solutions by Theo, MathTherapy:Answer by Theo(13342) (Show Source):
Since x + 2c is a factor, we can say that: x + 2c = 0 -------> x = - 2c --------------- Remainder Theorem --- Substituting - 2c for x in remainder theorem -------------- Substituting - 1 for f(- 2c), and simplifying equation
(4c + 2)(c + 1) = 0
4c + 2 = 0 OR c + 1 = 0
4c = - 2 OR c = 0 – 1
c = , or OR