Answer:
A. [tex]12x^{4} -4x^{3} +3x^{2} +3x+20[/tex]
Step-by-step explanation:
For this problem, we have to combine like terms.
Let's look at the equation:
[tex](12x^{4} -4x^{3} +7x+6)+(3x^{2} -4x+14)[/tex]
[tex]12x^{4[/tex], [tex]-4x^{3}[/tex], [tex]3x^{2}[/tex] do not have any other like terms, so we keep all in the final answer.
[tex]7x[/tex] and [tex]-4x[/tex] are like terms, so we combine them. [tex]7x-4x=3x[/tex]
14 and 6 are like terms, so we combine them. 14+6 = 20
Let's put everything into the final equation:
[tex]12x^{4} -4x^{3} +3x^{2} +3x+20[/tex]
So, the final answer is A. [tex]12x^{4} -4x^{3} +3x^{2} +3x+20[/tex]
Hope this helps! If you have any questions about my work, leave them in the comments below!