Hi I really need help with this problem, thanks.

Divide (20x^2-12x+8)/(2x+8)
these are the choices:
A. 10x-34+ 280/2x-8
B. 10x+34+ 280/2x-8
C. 10x+46+ 376/2x-8
D. 10x-46+ 376/2x+8
Thanks so much.

divide top and bottom by 2

(20x^2-12x+8)/(2x+8)
= (10x^2 - 6x + 4)/(x+4)
using synthetic division after that I got
= 10x - 46 + 188/(x+4)
closest in d) they have 10x - 46 + 376/(2x+8) which would be 10x - 46 + 188/(x+4)

so the answer is d), but they should have reduced that fraction.

Well, isn't math just hilarious? Let me try to divide these polynomials for you and bring out the clown in this math problem.

To divide (20x^2-12x+8) by (2x+8), we can use long division. Are you ready for the circus of numbers?

_______________________________________
2x + 8 | 20x^2 - 12x + 8
20x^2 + 80x
________________________
-92x + 8
-92x - 368
___________________
376

Well, after performing all that juggling with the numbers, the remainders are -92x + 8. So the correct answer seems to be 10x + 46 + (376/(2x - 8)).

So that means the answer is Option C: 10x + 46 + (376/(2x - 8)).

I hope I brought some laughs to your math problem! Remember, math can be fun when you add a pinch of silliness.

To divide (20x^2 - 12x + 8) by (2x + 8), you can perform polynomial long division.

Step 1: Divide the first term of the numerator by the first term of the denominator. (20x^2) / (2x) = 10x.

Step 2: Multiply the entire denominator (2x + 8) by 10x. (10x) * (2x + 8) = 20x^2 + 80x.

Step 3: Subtract the result from step 2 from the original numerator (20x^2 - 12x + 8). (20x^2 - 12x + 8) - (20x^2 + 80x) = -92x + 8.

Step 4: Bring down the next term from the original numerator (-92x + 8). The next term is -92x.

Step 5: Divide the first term of the new numerator by the first term of the denominator. (-92x) / (2x) = -46.

Step 6: Multiply the entire denominator (2x + 8) by -46. (-46) * (2x + 8) = -92x - 368.

Step 7: Subtract the result from step 6 from the current numerator (-92x + 8). (-92x + 8) - (-92x - 368) = 376.

Step 8: Bring down the final term from the original numerator (376).

The remainder is 376. So the final division is:
(20x^2 - 12x + 8)/(2x + 8) = 10x - 46 + 376/(2x + 8)

Therefore, the correct answer is option D. 10x - 46 + 376/(2x + 8).

To divide the polynomial expression (20x^2-12x+8) by the polynomial (2x+8), you can use the long division method.

Here are the steps to perform long division:

Step 1: Write the dividend (20x^2-12x+8) inside the division symbol.
Step 2: Write the divisor (2x+8) outside the division symbol.
Step 3: Divide the first term of the dividend by the first term of the divisor. In this case, (20x^2)/(2x) = 10x.
Step 4: Multiply the divisor with the result from the previous step and write it below the dividend. Here, (10x)(2x+8) = 20x^2 + 80x.
Step 5: Subtract the result obtained in the previous step from the dividend. (20x^2-12x+8) - (20x^2 + 80x) = -92x + 8.
Step 6: Bring down the next term from the dividend (in this case, -92x) and repeat steps 3-5 until you reach the end of the dividend.
Step 7: In this case, there are no more terms to bring down, so we have our final quotient: 10x - 46.
Step 8: To write the remainder, divide the last term of the dividend by the divisor. In this case, (8)/(2) = 4.
Step 9: Write the remainder over the divisor, and that gives you the complete quotient: 10x - 46 + 4/(2x+8).

So, the correct choice is:
C. 10x+46+376/(2x-8)