High School

Question 13 of 46

What is the remainder for the synthetic division problem below?

Question 13 of 46 What is the remainder for the synthetic division problem below

Answer :

Answer:

Step-by-step explanation:

Let's do this out as best as we can here. Here's the problem:

2 | 3 1 2 -7

___________

The rule is to bring down the first term, whatever it is (ours is a 3), and multiply it by the number "outside" which is a 2. Put that product up under the number next to the 3:

2 | 3 1 2 -7

6

3

Then add straight down, and multiply that sum by the 2 outside and put that product under the next number (the 2 "inside" the box):

2 | 3 1 2 =7

6 14

3 7

And do the same thing. Add straight down, multiply the sum by 2 and put the product up under the next number, -7, and add again. The final is shown below:

2 | 3 1 2 -7

6 14 32

3 7 16 25

The last number in the very bottom row, the depressed polynomial row, is the remainder. Ours is a 25. This is the super easy way to divide polynomials, as long as our divisor is a linear (first degree) term.