Identify Coefficients in y=5x+3x²: Term-by-Term Analysis

To solve this problem, we need to express the given function $y = 5x + 3x^2$ in the standard quadratic form $y = ax^2 + bx + c$.

Let's match the components of $y = 5x + 3x^2$ with the standard form:

• The term $3x^2$ corresponds to $ax^2$, so $a = 3$.
• The term $5x$ corresponds to $bx$, so $b = 5$.
• There is no constant term in the equation, which means $c = 0$.

Therefore, the values of the coefficients are:

• $a = 3$
• $b = 5$
• $c = 0$

From the answer choices given, the correct choice is:

• Choice 3: $a = 3, b = 5, c = 0$

Therefore, the solution to the problem is $a = 3, b = 5, c = 0$.