To solve the expression 3×4 + 2×3 + 1 + 12×4 + x2 + 11, we’ll first look at the like terms and combine them.
1. Identify like terms:
- 3×4 and 12×4 (which are both terms with x raised to the power of 4)
- 2×3 (a term with x raised to the power of 3)
- x2 (a term with x raised to the power of 2)
- 1 and 11 (constant terms)
2. Combine the like terms:
- For 3×4 and 12×4, you add the coefficients: 3 + 12 = 15, so we get 15×4.
- The term 2×3 remains as is because there are no other x3 terms.
- The term x2 also remains as is because there are no other x2 terms.
- Now, for the constants: 1 + 11 = 12.
3. Put everything together:
The simplified expression is: 15×4 + 2×3 + x2 + 12.
So, the final answer is 15×4 + 2×3 + x2 + 12.