
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
When learning polynomial addition and subtraction, the teacher set an open-ended question: given $A=-5x^{2}+3x+4$. <br/>$(1)$ Please write a quadratic trinomial in terms of $x$, denoted as $B$, such that the coefficient of the linear term in $B$ is $-2$. Then $B=\_\_\_\_\_\_.$ <br/>$(2)$ If $A-2B-C=0$, find the polynomial $C$.

Present the answer in LaTex format: \boxed{Your answer}
user