Which choice is equivalent to (8x^2-10x+4)div (x-5) A 8x+30+(154)/(x-5) B 8x-50+(254)/(x-5) C 8x-30-(146)/(x-5) D 8x+50-(246)/(x-5)

To find the equivalent expression for $$(8x^{2}-10x+4)\div (x-5)$$ , we can perform polynomial long division.

Step 1: Divide the first term of the numerator by the denominator.
$$\frac{8x^2}{x-5} = 8x$$

Step 2: Multiply the denominator by the result from Step 1 and subtract it from the numerator.
$$(8x^2 - 10x + 4) - (8x \cdot (x-5)) = -30x + 4$$

Step 3: Repeat the process with the new numerator.
$$\frac{-30x}{x-5} = -30$$

Step 4: Multiply the denominator by the result from Step 3 and subtract it from the new numerator.
$$(-30x + 4) - (-30 \cdot (x-5)) = 154$$

So, the final result is:
$$(8x^2 - 10x + 4) \div (x-5) = 8x - 30 + \frac{154}{x-5}$$

Therefore, the correct answer is:
A) $$8x + 30 + \frac{154}{x-5}$$