Han is multiplying \(10x^4\) by \(0.5x^3\) and gets \(5x^7\). He says that \(0.5x^3\) is not a polynomial because 0.5 is not an integer. What is the error in Han’s thinking? Explain your reasoning.

Here are two expressions whose sum is a new expression, \(A\).

\(\displaystyle (2x^2 + 5)+(6x^{\boxed{\phantom{33}}} -7) = A\)

Select all the values that we can put in the box so that \(A\) is a polynomial.

Match each quadratic expression given in factored form with an equivalent expression in standard form. One expression in standard form has no match.