39 Answered Questions for the topic Binomial Theorem
a salad bar offers a base of lettuce to which tomatoes , chickpeas, beets, pinto beans, olives and green peppers can be added.
ii. How many three-letter codes are there using letters A, B, C, and D if no letter can be repeated?
in the expansion of (3x + q)^7, the coefficient of the x^5 term is 81,648. Find the value of q.
n white and n black balls in a bag
expand (4x-3(y^2))^10 by using binomial theorem?
f(x) = ax^3 + (b - ad)x^2 + (c - bd)x - cd, where a = 26, b = -8, c = 21 and d = 8. What value of x satisfies the equation f(x) = 0?
in the expansion of (3x+1)^n, the coefficient of the term in x^2 is 135n, where n E Z+. Find n.
solve the limit using the binomial theorem: lim x --> 0 (5x-2)^3+8 / (2x+3)^3 -27
What is the coefficient of x2y3 in the expansion of (2x + y)5
In the binomial expansion (a+x)^n where n>4, the coefficient of x^3 is twice that of x^4. Show that n=2a+3
what is the coefficient of the x^8 term in the expansion of (x+2)^18
Using binomial theorem for approximation
A natural number, x, is called a power of ten if there exists another natural number, y, such that 10^y = x. Show that the set of powers of ten is countably inf
Give an example of a cubic (degree 3) function that is bijective. Explain why it is bijective. Give an example of a cubic (degree 3) function that is not biject
Find and explain a counter example to show that the following statement is false: If a, b ? R\Q then ab ? R\Q.
what is the coefficient of x^49 in the expansion of (x-1)(x-2)(x-3)............(x-50)
find the 18th term in the binomial expansion of (2x-v2)^27
Find the reminder when 5^103 is divided by 13