Use Synthetic division to solve (3x^4+6x^3 + 2x2 +9x+10)÷(x+ 2). What is the quotient?

Option B.

Step-by-step explanation:

We have to find the quotient of the expression when divided by (x + 2) by synthetic division.

-2 | 3     6     2     9     10

   | ↓    -6     0    -4    -10

     3     0     2     5     0

Solution of the synthetic division will be = (3x³ + 2x + 5)

Therefore, quotient after division will be, (3x³ + 2x + 5) and the remainder is 0.

Therefore, (3x³ + 2x + 5) will be the answer.

Option (B) will be the correct option.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are