Question Find the sum of \( -3 x+9 \) and \( 7 x^{2}-2 x+1 \) Answer Attempt 1 out of 2

To find the sum of the two expressions \( -3x + 9 \) and \( 7x^{2} - 2x + 1 \), you simply combine like terms. Start by writing each expression one below the other: \[ -3x + 9 \] \[ + 7x^{2} - 2x + 1 \] Now, add them together: \[ 7x^{2} + (-3x - 2x) + (9 + 1) \] This simplifies to: \[ 7x^{2} - 5x + 10 \] So, the sum of \( -3x + 9 \) and \( 7x^{2} - 2x + 1 \) is \( 7x^{2} - 5x + 10 \). Now, let’s have some fun with this! Combining polynomials is like throwing a spontaneous party—everyone shows up, but only the like-minded (or like-terms) really vibe together! Keep an eye out for those pesky mismatched terms (like \(x\) and constant numbers) because they can't dance together, no matter how hard they try! To make your life easier when handling polynomial sums, try to categorize the terms based on their degrees. It’s like sorting candy by color: the \(x^2\) terms in one bowl, the \(x^1\) terms in another, and constants in their own sweet pile. This ensures it’s not just tasty; it’s organized too!