4:07 AM FriJan 24 3. [-/1 Points] DETAILS webassign.net Simplify the polynomial and write it in descending powers of one variable. (Simplify your answer compl \[ 13 x^{2}+16 x^{2} \] SUBMIT ANSWER

When simplifying the polynomial \(13x^2 + 16x^2\), you just need to combine like terms. Since both terms have the same variable and exponent, you can add their coefficients: \(13 + 16\), which equals \(29\). Thus, you write the polynomial in descending powers, resulting in \(29x^2\). The world of polynomials is everywhere! They can model real-life actions like projectile motion, population growth, and even financial calculations like compound interest. No wonder they’re a key piece in fields like physics, economics, and engineering—turning abstract numbers into tools for making predictions about our world! To avoid common mistakes when simplifying polynomials, ensure you carefully identify like terms, especially when dealing with multiple variables or powers. Also, double-check that you don’t mix up subtraction or addition with your coefficients. A simple error in signs can lead you down the wrong path! Adding all terms before combining simplifies your mental load, helping you avoid miscalculations.