1. **State the problem:** We need to multiply the binomial $(3x + y)$ by the trinomial $(x^2 + 2y + 4)$ and identify the correct terms in the multiplication chart. 2. **Formula and rules:** To multiply polynomials, use the distributive property: multiply each term in the first polynomial by each term in the second polynomial. 3. **Multiply each term:** - $3x \times x^2 = 3x^3$ - $3x \times 2y = 6xy$ - $3x \times 4 = 12x$ - $y \times x^2 = x^2y$ - $y \times 2y = 2y^2$ - $y \times 4 = 4y$ 4. **Check the chart errors:** - The chart shows $6x$ but the correct term is $6xy$ because $3x \times 2y = 6xy$. - The chart shows $4y$ but the correct term is $4y$ (this is correct). 5. **Conclusion:** The incorrect term is $6x$ which should be $6xy$. **Final answer:** The expression $6x$ should be corrected to $6xy$.