Angelwulf
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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.

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 class=

Respuesta :

Terabotette
negative x squared minus 4 x plus 5

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).