Binomial theorem and partial fractions quiz: N(A)-Level Additional Mathematics (SEAB 4051) quiz
14questions. Pick an answer and you'll see why right away.
The binomial theorem expands using coefficients that match:
How many terms are there in the expansion of ?
Expand .
In the expansion of , the general term is:
Find the coefficient of in .
Evaluate .
Which power of does the term with give in the expansion of ?
Find the constant term (the term in ) in .
A fraction can be split into partial fractions with linear terms when it is proper, meaning:
Set up the partial-fraction form for .
Express in partial fractions.
In , substituting gives:
Which value of is most convenient to substitute to find the constant over in a partial-fraction problem?
The middle coefficient in the expansion of is: