SOLUTION: Determine q(x) when p(x) = x^3-5x^2-3x+2 is divided by x-1 and then expressed in the form p(x)/(x-1)=q(x)+ r/(x-1). Select one: a. x^2+4x+1 b. x^2-4x-7 c. x^2-6x-3 d. x^2-6x+3

Algebra ->  Trigonometry-basics -> SOLUTION: Determine q(x) when p(x) = x^3-5x^2-3x+2 is divided by x-1 and then expressed in the form p(x)/(x-1)=q(x)+ r/(x-1). Select one: a. x^2+4x+1 b. x^2-4x-7 c. x^2-6x-3 d. x^2-6x+3      Log On


   

Question 1181488: Determine q(x) when p(x) = x^3-5x^2-3x+2 is divided by x-1 and then expressed in the form p(x)/(x-1)=q(x)+ r/(x-1).
Select one:
a. x^2+4x+1
b. x^2-4x-7
c. x^2-6x-3
d. x^2-6x+3





Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
You can easily choose either synthetic division or polynomial division. Result will be obvious.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

p%28x%29+=+x%5E3-5x%5E2-3x%2B2 is divided by x-1
..................(x%5E2-4x-7
x-1|+x%5E3-5x%5E2-3x%2B2
........................x%5E3-x%5E2..........subtract
...........................+-4x%5E2...bring -3x down
...........................+-4x%5E2-3x
...........................+-4x%5E2%2B4x .........subtract
...................................+-7x...bring 2 down
...................................+-7x%2B2
...................................+-7x%2B7.........subtract
.........................................+-5....reminder r=-5

p%28x%29+%2F%28x-1%29=+q%28x%29%2B+r%2F%28x-1%29
%28x%5E3-5x%5E2-3x%2B2%29%2F%28x-1%29=x%5E2-4x-7-5%2F%28x-1%29

answer:
b. x%5E2-4x-7