Question

what is the quotient (x 4 + 10 x3 + 21 x 2 + 6x - 8 ÷ (x + 2)?

Answer 1

We need to calculate the division between two polynomials:

$\begin{gathered} \frac{x^4+10x^3+21x^2+6x-8}{x+2}=x^3+8x^2+5x-4 \\ x^4+10x^3+21x^2+6x-8=(x+2)(x^3+8x^2+5x-4) \end{gathered}$

The option B is the correct answer.