SOLUTION: Use polynomial long division to divide -5x^2 – 3x – 2}}} by -5x^2 – 3x – 2 show all work please.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use polynomial long division to divide -5x^2 – 3x – 2}}} by -5x^2 – 3x – 2 show all work please.      Log On


   



Question 598942: Use polynomial long division to divide
-5x^2 – 3x – 2}}} by -5x^2 – 3x – 2
show all work please.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
We start by dividing 25x%5E3%2F%28-5x%5E2%29=-5x to get the first term of the quotient:

Then, we multiply that first term -5x times divisor -5x%5E2-3x-2 and subtract the product
-5x%28-5x%5E2-3x-2%29=25x%5E3%2B15x%5E2%2B10x from 25x%5E3%2B40x%5E2%2B25x%2B10
to get 25x%5E3%2B40x%5E2%2B25x%2B10-%2825x%5E3%2B15x%5E2%2B10x%29=25x%5E2%2B15x%2B10

Now we have to divide that 25x%5E2%2B15x%2B10 difference by -5x%5E2-3x-2.
To do that, the first step is dividing 25x%5E2%2F%28-5x%5E2%29=-5 to get the next (second) term of the quotient:

Then, we multiply that second term -5 times divisor -5x%5E2-3x-2 and subtract the product
-5%28-5x%5E2-3x-2%29=25x%5E2%2B15x%2B10 from 25x%5E2%2B15x%2B10
to get the remainder, which happens to be zero:
25x%5E2%2B15x%2B10-%2825x%5E2%2B15x%2B10%29=0