Final answer:
The given equation is rewritten and simplified to standard quadratic form, resulting in 2x^2 - 11x + 23 = 0.
Step-by-step explanation:
To rewrite the equation 2x^2 + x + 3 = 4(3x - 5) in the form ax^2 + bx + c = 0, we first need to expand and simplify the equation. Let's start by distributing the 4 to both terms inside the parenthesis on the right side of the equation:
2x^2 + x + 3 = 12x - 20
Next, we subtract '12x' and '20' from both sides to get all terms on one side:
2x^2 + x - 12x + 3 + 20 = 0
Combine like terms:
2x^2 - 11x + 23 = 0
Therefore, the answer is A. 2x^2 - 11x + 23 = 0.
Complete question is:
Which of the following shows the equation below rewritten in the form ax? +bx+C =0 ?
2x2+x+3 = 4(3x-5)
A. 2x2 - 11x + 23 = 0
B. 2x2 +13x + 23 = 0
C. 2x2 +13x+8 = 0
D. 2x2 - 11x+8 = 0