Question

Use Synthetic Division to divide

x^2 + 10x + 21 by x + 3
x + 7
x - 7
7x + 21
7x - 21

Question 2

Use synthetic division to find the remainder when

4 - 5x - x^2 + 6x^3 is divided by 3x - 2
-1
4
0
2

Question 3

Use Synthetic Division to find the remainder when

6x^4 + 5x^3 + 3x - 5 is divided by 3x^2 - 2x
0
3x^2 - 2x
7x - 5
2

Question 4

Use synthetic division to divide

5x^3 + 6^x + 8 by x + 2
5x -10 + 26/(x + 2)
-44
5x^2 - 10x + 26
5x^2 - 10x + 26 -44/(x + 2)

Question 5

Divide us

Answer 1

synthetic division only works if you have x-a. You can't have a constant attached to x. Therefore, you can't use synthetic division on question 2 or question 3.

Answer 2

Can you help me with 1 and 4

Answer 3

Umm, what do the extra numbers and functions mean?

Answer 4

When you use synthetic division (my syntax is probably off) you usually have:\[{ax^n \pm bx^{n-1} \pm ...a}\over {x-a}\]

Answer 5

The a and b are just constants but the syntax is way off...

Answer 6

there the answer choices

Answer 7

ah, I see, you should have labeled them...I was like wth.

Answer 8

and I keep losing my connection dammit!

Answer 9

ok, in synthetic division, you use only constants, but what you're dividing by must be in the form of x-a or x+a

Answer 10

-3
1 10 21
_________-3____-21_________________________________________________________
1 7 0

Answer 11

Therefore your answer to question 1 is x+7

Answer 12

-2
5 6 0 8
-10 8 -16
____________________________________
5 -4 8 -8

So 5x^2-4x+8 with a remainder of \[-8\over {x+2}\]

Answer 13

Basically, the first number (constant) is just dropped down. Then, you multiply it by the number in the corner. In this case, since you were dividing by x+a, the number in the upper left corner is -a. After you multiply, place it underneath the next constant and add the two numbers. The sum goes beneath the dotted line and that number is multiplied by -a and the process is repeated. If your final number (under the line) is 0, there is no remainder. If there is a number, that's your remainder.

Answer 14

oops, I flipped the constants for x and x^2. My bad.

Answer 15

-2
5 0 6 8
-10 20 -52
____________________________________
5 -10 26 -44

Answer 16

Remainder is \[-44\over {x+2}\]