Find the quotient of the quantity negative 5 times x to the 3rd power plus 20 times x to the 2nd power minus 25 times x all over negative 5 times x.

Answer:
Option 2. (x²- 4x + 5) is the quotient.
Step-by-step explanation:
We have to find the quotient of [tex]\frac{-5x^{3} + 20x^{2} -25x}{-5x}[/tex].
Now we will factorize numerator as
(-5x³ + 20x² -25x) = -(5x³ - 20x² +25x) = -5x(x² - 4x + 5)
Now we can easily divide this term by the term given in the denominator.
= -5x(x² - 4x +5)/(-5x)
Therefore the quotient will be (x²- 4x + 5).