Question

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 1

negative x squared minus 4 x plus 5

Answer 2

Option 2. (x²- 4x + 5) is the quotient.

Explanation:

We have to find the quotient of
`(-5x^(3) + 20x^(2) -25x)/(-5x)`.

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).