Precalculus The Binomial Theorem Quiz: 10 Questions with Explanations
This binomial theorem quiz for Precalculus covers the binomial theorem (Common Core A-APR.C.5), with a free PDF to print.
Pick the best answer for 10 questions on binomial coefficients and expansions. Explanations name typical errors, such as forgetting to raise the coefficient of x to a power.
Precalculus · Common Core State Standards: A-APR.C.5
Binomial theorem quiz: 10 questions
Remember
Remember
- n! = n(n – 1)…(1) and 0! = 1; C(n, k) = n!/(k!(n – k)!).
- Pascal’s triangle: each entry is the sum of the two above; row n sums to 2^n.
- (a + b)^n = sum of C(n, k) a^(n-k) b^k for k = 0 to n.
- The general term is T(k+1) = C(n, k) a^(n-k) b^k; signs alternate when b is negative.
- Setting x = 1 gives the sum of the coefficients.
How to use this binomial theorem quiz
Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.
Download the binomial theorem quiz as a PDF with the button below and keep it with your notes.
All Precalculus chapters: Precalculus math.
