SOLUTION: Hi All Stuck on the last part of my Majorly long task sheet, the parts are below 1) What is the remainder when x^4+3x^2+1 is divided by x+1? 2) Given that (x-1) is a fac

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Hi All Stuck on the last part of my Majorly long task sheet, the parts are below 1) What is the remainder when x^4+3x^2+1 is divided by x+1? 2) Given that (x-1) is a fac      Log On


   

Question 357969: Hi All
Stuck on the last part of my Majorly long task sheet, the parts are below
1) What is the remainder when x^4+3x^2+1 is divided by x+1?
2) Given that (x-1) is a factor find all the linear factors of x^3-6x^2+11x-6
Many Thanks In Advance
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

What is the remainder when x^4+3x^2+1 is divided by x+1? 

Dividing it out, results in: x^3- x^2 + 4x -4  Remainder = 5



Given that (x-1) is a factor find all the linear factors of x^3-6x^2+11x-6

dividing x^3-6x^2+11x-6 by (x-1)result is:

x^2 - 5x + 6

(x-3)(x- 2)

ALL linear factors of x^3-6x^2+11x-6  are:

(x-1), (x-3), and (x-2)