When
, you're left with
When
or
, you're left with
Adding the two equations together gives
, or
. Subtracting them gives
,
.
Now, you have
By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that
and
. These alone tell you that you must have
and
.
So the partial fraction decomposition is
F(x) = 3x^32 + 8x^2 -22x +43
The ends of all the polynomials with even degree behave like quadratic functions.
Given the the coefficient of x^32 is positive, the function opens upwards. Then the two ends go up.
Answer:
The answer is here
Step-by-step explanation:
https://www.khanacademy.org/test-prep/praxis-math/praxis-math-lessons/gtp--praxis-math--lessons--geometry/a/gtp--praxis-math--article--congruence-and-similarity--lesson
