To divide (20x^2 - 12x + 8) by (2x + 8), we can use polynomial long division or synthetic division.
Let's use polynomial long division:
First, we start by dividing the first term of the numerator by the first term of the denominator:
20x^2 / 2x = 10x
Next, we multiply the entire denominator by 10x and subtract it from the numerator:
(10x)(2x + 8) = 20x^2 + 80x
(20x^2 - 12x + 8) - (20x^2 + 80x) = -92x + 8
Now, we bring down the remaining term in the numerator (-92x):
-92x / 2x = -46
We divide -92x by 2x to get -46.
Now, we multiply the entire denominator by -46 and subtract it from the numerator:
(-46)(2x + 8) = -92x - 368
(-92x + 8) - (-92x - 368) = 376
Our final result is: 10x - 46 + 376 / (2x + 8)
Therefore, (20x^2 - 12x + 8) / (2x + 8) = 10x - 46 + 376 / (2x + 8)
(20x^2-12x+8) / (2x+8)
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