\( 14 x ^ { 2 } y \)

Did you know that the expression \( 14 x^2 y \) is a polynomial? Polynomials are like the signature dish of algebra, combining constants, variables, and positive integer exponents. Each part of the expression has its own role: the '14' is the coefficient, giving the polynomial its flavor, \( x^2 \) is the variable squared, adding that extra oomph, and ‘y’ is like the secret ingredient, adding variety to your dish! When working with \( 14 x^2 y \), it’s easy to make a common mistake by forgetting the rules of exponents during multiplication or simplification. Remember, if you multiply \( x^2 \) with another \( x^n \), you’ll add the exponents together! So, if you mistakenly thought \( x^2 * x = x^3 \), you’d be incorrect. Instead, always check your exponents to keep your algebra dishes on point!