Question

What is the quotient (x3 + 3x2 + 5x + 3) ÷ (x + 1)?

Answer 1

That would be x^2 + 2x + 3

Answer 2

Answer:

$\frac{x^3+3x^2+5 x+3}{x+1}\\\\=\frac{x^3+x^2+2x^2+2x+3x+3}{x+1}\\\\=\frac{x^2\times(x+1)+2x\times (x+1)+3\times (x+1)}{x+1}\\\\=\frac{(x+1)(x^2+2x+3)}{x+1}\\\\=x^2+2x+3$

⇒Quotient =x²+2 x+3