2x+3(x-2)^2
Is there a question in there somewhere?
You could think of it as a shifted parabola, where
2x+3(x-2)^2 = 3(x-2)^2 + 2(x-2) + 4
I think it is kinda like 1x-36. I am not sure though
How could a quadratic be anything like a linear function?
To simplify the expression 2x+3(x-2)^2, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
1. First, we need to simplify the expression inside the parentheses.
(x - 2)^2 means that we need to square (x - 2). To do that, we multiply (x - 2) by itself.
(x - 2) * (x - 2) = x^2 - 2x - 2x + 4
Combining like terms, we have:
x^2 - 4x + 4
2. Now, we can substitute the simplified expression, x^2 - 4x + 4, back into the original equation:
2x + 3 * (x^2 - 4x + 4)
3. Next, we distribute the 3 to every term inside the parentheses:
2x + 3x^2 - 12x + 12
4. Finally, we combine like terms:
3x^2 - 10x + 12
Therefore, the simplified expression is 3x^2 - 10x + 12.