SOLUTION: Find the quotient and remainder when the first polynomial is divided by the second. x^3-6x^2+3x-1 x-5

Algebra ->  Trigonometry-basics -> SOLUTION: Find the quotient and remainder when the first polynomial is divided by the second. x^3-6x^2+3x-1 x-5      Log On


   



Question 266238: Find the quotient and remainder when the first polynomial is divided by the second.
x^3-6x^2+3x-1
x-5

Answer by vksarvepalli(154) About Me  (Show Source):
You can put this solution on YOUR website!
the quotient is x^2-x-2 and the remainder is -11
the procedure is just do like simple division of numbers
in the quotient take such that the highest power of x is obtained
like for the first term we should get x^3 so we have to multiply by x^2 then subtract and carry over the remaining terms just as in how you do division of numbers

for getting the remainder we can also use the remainder theorem
it says when a function f(x) is divided by (x-a) the remainder is given by f(a)
so here the remainder will be f(5) that is 125-150+15-1 = -11