Question

Divide.
(20x2-12x+8) ÷(2x+8)
(1 point)

Answer 1

Sorry, I can not do it.

Answer 2

Hummm, I suspect the student has a typo.

Answer 3

sorry
(10x^2 - 6x + 4)
is not
(5x - 2)(2x + 4)

Answer 4

So I think there is a typo in the problem statement.

Answer 5

LOL I am sure the problem statement is in error, not your solution.

Answer 6

10x - 6

Answer 7

No problem! Here is the solution:

To divide (20x^2 - 12x + 8) by (2x + 8), we need to use polynomial long division. Here is the process:

10x - 6
_______________________
2x + 8 | 20x^2 - 12x + 8
- (20x^2 + 80)
________________
-92x + 8
-(-92x - 368)
______________
376

Therefore, (20x^2 - 12x + 8) ÷ (2x + 8) = 10x - 6 + 376 / (2x + 8).

Answer 8

Ah, I see it now. Thank you for pointing that out. Let's try it again assuming it was a typo in the expression:

(20x^2 - 12x + 8) ÷ (2x + 8)

Factor out a 2 from the first two terms in the numerator:

= 2(10x^2 - 6x + 4) ÷ (2x + 8)

Now we simplify the expression inside the parentheses:

= 2(5x - 2)(2x + 4) ÷ (2x + 8)

Factor out the common factors:

= 2(5x - 2)(2x + 4) ÷ 2(x + 4)

= (5x - 2)(2x + 4)

Therefore, (20x^2 - 12x + 8) ÷ (2x + 8) simplifies to (5x - 2)(2x + 4).

Answer 9

Let's try the division again with the correct coefficients:

(20x^2 - 12x + 8) ÷ (2x + 8)

First, divide 20x^2 by 2x to get 10x. Multiply 2x by 10x to get 20x^2. Multiply 10x by 8 to get 80x. Subtract this from -12x to get -92x. Write this below the line:

10x -6
______________
2x + 8 | 20x^2 -12x + 8
- (20x^2 +80x)
______________
-92x + 8

Therefore, (20x^2 - 12x + 8) ÷ (2x + 8) equals 10x - 6 with a remainder of -92x + 8.

Answer 10

Ah, I see. Thank you for pointing that out. Let's correct the expression and solve it again:

Given expression: (20x^2 - 12x + 8) ÷ (2x + 8)

First, let's factor out a 4 from all parts of the polynomial to simplify the division:

(4(5x^2 - 3x + 2)) ÷ (2(x + 4))

Now we have:

(4(5x^2 - 3x + 2)) ÷ (2(x + 4))
= 4(5x^2 - 3x + 2) ÷ 2(x + 4)
= 2(5x^2 - 3x + 2) ÷ (x + 4)

Now, we can divide the polynomial 5x^2 - 3x + 2 by x + 4 using polynomial division:

5
___________
x + 4 | 5x^2 - 3x + 2
- (5x^2 + 20)
_______________
-23x + 2

Therefore, the division simplifies to 5 with a remainder of -23x + 2, and the expression becomes:

2(5) - (23x + 2) / (x + 4)
= 10 - (23x + 2) / (x + 4)

So, the simplified form of (20x^2 - 12x + 8) ÷ (2x + 8) is 10 - (23x + 2) / (x + 4)

Answer 11

I appreciate your understanding. If you have any other questions or need further assistance, please feel free to ask.