Keyed Math problem number 1

Solution
xer paper
I'll use an online LaTeX interpreter/parser o algo (use a non-dark theme to actually see the mostly transparent images I sent ITP).

We start with these 2 equations:
1733943451329.png

The first equation is our 'divisible by $x^{3}$' statement and the second equation is our 'divisible by (x+1)^{3} after adding 3' statement.

Let's rewrite $y(x)$ and $g(x)$ into something more comprehensible (WOAHJAKS) and bring it to its logical conclusion.

1733943938330.png


The degree of $f(x)$ is $5$ and is divisible by $x^{3}$, therefore $f(x)$ must NOT have a constant, linear or quadratic term, thus making the equation look something like the above.

Unfortunately, it gets quite messy after this, bear with me thoughbeit.

We substitute $f(x)$...
No. Fuck you nigger. Math is a Jewish invention. Learning is a Jewish invention.
 
xer paper
I'll use an online LaTeX interpreter/parser o algo (use a non-dark theme to actually see the mostly transparent images I sent ITP).

We start with these 2 equations:
1733943451329.png

The first equation is our 'divisible by $x^{3}$' statement and the second equation is our 'divisible by (x+1)^{3} after adding 3' statement.

Let's rewrite $y(x)$ and $g(x)$ into something more comprehensible (WOAHJAKS) and bring it to its logical conclusion.

1733943938330.png


The degree of $f(x)$ is $5$ and is divisible by $x^{3}$, therefore $f(x)$ must NOT have a constant, linear or quadratic term, thus making the equation look something like the above.

Unfortunately, it gets quite messy after this, bear with me thoughbeit.

We substitute $f(x)$ for its first equation into the second. We expand both equations and try to get the coefficients to equate to one another.

1733961010486.png

Therefore, $f(x)=18x^{2}+45x+30$

Okay, I gotta bounce, see you in an hour or 2.
 
Last edited:
Solution
I'll use an online LaTeX interpreter/parser o algo (use a non-dark theme to actually see the mostly transparent images I sent ITP).

We start with these 2 equations:
View attachment 87137
The first equation is our 'divisible by $x^{3}$' statement and the second equation is our 'divisible by (x+1)^{3} after adding 3' statement.

Let's rewrite $y(x)$ and $g(x)$ into something more comprehensible (WOAHJAKS) and bring it to its logical conclusion.

View attachment 87144

The degree is $5$, therefore f(x) must NOT have a constant, linear or quadratic term as it is divisible by $x^{3}$. thus making the equation look something like the above.

Unfortunately, it gets quite messy after this, bear with me thoughbeit.

We substitute $f(x)$ for its first equation into the second. We expand both equations and try to get the coefficients to equate to one another.

View attachment 87162

Therefore, $f(x)=18x^{2}=9x+30$

Okay, I gotta bounce, see you in an hour or 2.
@baqqrih make this the solution plssss
 
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