Quention Find the sum of -x^2+2 and 3x^2-7x+8 Answer Attemptiout of square

To find the sum of the two polynomials, we combine like terms:<br /><br />\[<br />(-x^2 + 2) + (3x^2 - 7x + 8)<br />\]<br /><br />First, combine the \(x^2\) terms:<br /><br />\[<br />-x^2 + 3x^2 = 2x^2<br />\]<br /><br />Next, combine the \(x\) terms:<br /><br />\[<br />0 - 7x = -7x<br />\]<br /><br />Finally, combine the constant terms:<br /><br />\[<br />2 + 8 = 10<br />\]<br /><br />Putting it all together, the sum is:<br /><br />\[<br />2x^2 - 7x + 10<br />\]<br /><br />So, the sum of \(-x^2 + 2\) and \(3x^2 - 7x + 8\) is:<br /><br />\[<br />\boxed{2x^2 - 7x + 10}<br />\]