Synthetic Division

Question

If you use synthetic division to divide 2x^5−3x^2+1 by x−1, what are the coefficients and constant of the result? Enter your answer as a list of integers separated by commas. For example, if the polynomial is 42x^4−53x^3+64x^2+75, enter your answer like this: 42, -53, 64, 0, 75.

Answer 1

When doing synthetic division, you will follow the pattern of drop, multiply, and add.

The set up will be to put the opposite of the divisor number and leaving the same coefficient numbers the same for the dividend. The key is every exponent must have a power. In your problem you are missing x^4, x^3 and x, which hold a zero for the coefficient.

1 ) 2. 0. 0. -3. 0. 1

2. 2. 2. -1. -1

2. 2 2. -1. -1. 0

So your answer would be 2, 2, 2, -1, -1, 0