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

Question

asked Oct 5, 2021 67.3k views

2 Answers

Captray · Answer 1 · 2021-10-09T01:13:21+0000

Answer:

Option B.

Explanation:

We have to find the quotient of the expression
(3x^4+6x^3+2x^2+9x+10) 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.