Question

Using synthetic division, what is the quotient (2x3 - 2x - 12) + (x - 2)? (6 points)

02x²-4x+6
02x²+4x+6
02x²+4x-6
O
2x²+4x-6+
1

Answer 1

2x² + 4x + 6

Explanation:

Pre-Solving

We are given 2x³ - 2x - 12, which we want to divide by x - 2 using synthetic division.

To do that, we will "divide" the coefficients of the polynomials by -a (which is the opposite value of the constant term in the divisor, in this case it is 2)

Solving

When we divide by synthetic division, we need to fill in any terms not there with a 0.

Since we do not have a x² term, we will write a 0 between 2 and -2 (the cubic and linear terms).

See the attachment for the rest of the problem.