39 Answered Questions for the topic Binomial Theorem

Binomial Theorem Calculus

07/13/19

Binomial theorem

When the binomial theorem is used, the 12th term of (x/4 + b)14 is equal to -11648/x8.Calculate the value of b in terms of x
Binomial Theorem Algebra 2 Polynomial Identities

06/10/19

Polynomial Identities

How can the Binomial Theorem be useful in helping to prove and use polynomial identities?
Binomial Theorem Finite Math

02/10/19

a salad bar offers a base of lettuce to which tomatoes , chickpeas, beets, pinto beans, olives and green peppers can be added.

a salad bar offers a base of lettuce to which tomatoes , chickpeas, beets, pinto beans, olives and green peppers can be added. Five salad dressings are available. How many different salads are... more

10/26/18

ii. How many three-letter codes are there using letters A, B, C, and D if no letter can be repeated?

Binomial Theorem Math Binomial Expressions

10/07/18

in the expansion of (3x + q)^7, the coefficient of the x^5 term is 81,648. Find the value of q.

Cannot find the answer to the following question. Has to do with binomial expansion.
Binomial Theorem

06/30/18

n white and n black balls in a bag

A bag contains n white and n black balls. Pairs of balls are drawn at random without replacement successively , until the bag is empty. If the number of ways in which each pair consists of one... more
Binomial Theorem

05/13/18

expand (4x-3(y^2))^10 by using binomial theorem?

the usual expand result will be 1048576x4 +...  is i'm in the right path?
Binomial Theorem Cubic Equation

10/12/17

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?

I'm so bad at these topics ): I need help with this and some explanation, thanks!
Binomial Theorem Calculus Ib Ib Maths

09/17/17

in the expansion of (3x+1)^n, the coefficient of the term in x^2 is 135n, where n E Z+. Find n.

I don't have any idea how to do this! i know how to do binomial theorem but not this. I live in the US and taking Ib sl 2 math as a junior.
Binomial Theorem Limits

08/29/17

solve the limit using the binomial theorem: lim x --> 0 (5x-2)^3+8 / (2x+3)^3 -27

solve the limit using the binomial theorem:   lim        (5x-2)^3+8 / (2x+3)^3 -27 x --> 0
Binomial Theorem

07/14/17

Binomial theorem

In the polynomial function f(x) =(x-1)(x²−2)(x³−3)....(x¹¹−11) the coefficient of x⁶⁰ is: ?
Binomial Theorem Binomial

03/27/17

What is the coefficient of x2y3 in the expansion of (2x + y)5

need help asap please and thank you
Binomial Theorem Algebra

03/06/17

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

In the binomial expansion (a+x)^n where n>4, the coefficient of x^3 is twice that of x^4.   1) Show that n=2a+3   In the same expression, the coefficient of x^2 is 3/2 time the coefficient... more
Binomial Theorem

12/04/16

what is the coefficient of the x^8 term in the expansion of (x+2)^18

using combinations and why.
Binomial Theorem

10/16/16

Using binomial theorem for approximation

I have to approximate 0.99^9, using binomial theorem. I can't figure out how to get it to (1 + x)^9 form.
Binomial Theorem

04/05/16

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

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 infinite.
Binomial Theorem

04/05/16

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

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 bijective. Explain why it is not bijective.
Binomial Theorem

04/05/16

Find and explain a counter example to show that the following statement is false: If a, b ? R\Q then ab ? R\Q.

Find and explain a counter example to show that the following statement is false: If a, b ∈ R\Q then ab ∈ R\Q.
Binomial Theorem

04/02/16

what is the coefficient of x^49 in the expansion of (x-1)(x-2)(x-3)............(x-50)

The choices are. (a) -2250 (b) -1275 (c) 1275 (d) 2250 (e) -49
Binomial Theorem Math Calculus Advanced Math

03/12/16

Binomial Theorem

Use the Binomial Theorem to expand the following: (a+b)^6 (x+1)^7
Binomial Theorem

03/12/16

find the 18th term in the binomial expansion of (2x-v2)^27

use the binomial therom
Binomial Theorem

02/06/16

Find the reminder when 5^103 is divided by 13

Use binomial theorem
Binomial Theorem

01/11/16

Binomial Theorem

In the expansion of (2+x)^14 multiplied by (1+2/x)^14, find the coefficient of x^12.
Binomial Theorem

01/11/16

Binomial Theorem

Find the term independent of x in the expansion of (1+x+x-3)7 after the expansion is performed. Note that the answer is 141.
Binomial Theorem

01/10/16

Binomial Theorem

Find the term independent of x in the expansion of (1+x+x-3)7.

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