Question

Workout the following divisions
$a(a+1)(a+2)(a+3)÷a(a+3)$

• A. $(a+1)(a+2)$
• B. $a(a+2)$
• C. $(a+1)a$
• D. None

Answer 1

Answer: (A)

$(a+1)(a+2)$

We divide the given polynomial $a(a+1)(a+2)(a+3)$ by $a(a+3)$ as shown below:

$\frac{a(a+1)(a+2)(a+3)}{a(a+3)}=\frac{a}{a}\times \frac{(a+1)(a+2)(a+3)}{(a+3)}=(a+1)(a+2)$

Hence, $\frac{a(a+1)(a+2)(a+3)}{a(a+3)}=(a+1)(a+2)$.