Respuesta :

Answer:

-5x + 1

Step-by-step explanation:

Hello!

We can find the quotient by factoring the numerator, and cancelling common factors.

Simplify

  • [tex]\frac{15x^2 - 3x}{-3x}[/tex]
  • [tex]\frac{(-3x)(-5x + 1)}{-3x}[/tex]
  • [tex]\frac{\not{(-3x)}(-5x + 1)}{\not{-3x}}[/tex]
  • [tex]-5x +1[/tex]

The quotient is (-5x + 1).

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{\dfrac{15x^2 - 3x}{-3x}}[/tex]

[tex]\huge\textbf{Simplify the current equation:}[/tex]

[tex]\mathbf{= \dfrac{-3x(-5x + 1)}{-3x}}[/tex]

[tex]\huge\textbf{Cancel out \boxed{\bf -3x} \& simplify it:}[/tex]

[tex]\mathbf{= \dfrac{-15x + 3}{3}}[/tex]

[tex]\huge\textbf{Simplify that above:}[/tex]

[tex]\mathbf{= -5x + 1}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{-5x + 1 }}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]