38 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

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

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...
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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!

#### 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

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

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

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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