Respuesta :
Answer:
Quotient = x - 7,
Remainder = -300.
Step-by-step explanation:
Here, the given expression,
[tex]\frac{x^3+43-49x-7x^2}{x^2-49}[/tex]
[tex]=\frac{x^3-7x^2-49x+43}{x^2-49}[/tex]
By the long division ( shown below ), we get,
[tex]\frac{x^3-7x^2-49x+43}{x^2-49}=x-7-\frac{300}{x^2-49}[/tex]
Hence, in the given division problem,
Quotient = x - 7,
Remainder = -300.
