Question: a. Write down the first three terms, in ascending powers of x, of the binomial expansion of (1 px) 12 , where p is

a. Write down the first three terms, in ascending powers of x, of the binomial expansion of (1 − px)12, where p is a non-zero constant.

b. Given that, in the expansion of (1 − px)12, the coefficient of x is q and the coefficient of x2 is 6q, find the value of p and the value of q.

Step by Step Solution

★★★★★

3.36 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a The binomial expansion of 1 px12 can be found using the binomial theorem The general term of the e... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Edexcel AS And A Level Mathematics Questions!

Q:

At the beginning of 2016, Norris Company had a deferred tax liability of $6,300, because of the use of MACRS depreciation for income tax purposes and units-of-production depreciation for financial...

Q:

a. Write down the first three terms, in ascending powers of x, of the binomial expansion of (1 + px) 15 , where p is a non-zero constant. b. Given that, in the expansion of (1 + px) 15 , the...

Q:

a. Find the first three terms, in ascending powers of x of the binomial expansion of (1 + px) 11 , where p is a constant. b. The first 3 terms in the same expansion are 1, 77x and qx 2 , where q is a...

Q:

a. Find the first three terms, in ascending powers of x, of the binomial expansion of (5 + px) 30 , where p is a non-zero constant. b. Given that in this expansion the coefficient of x 2 is 29 times...

Q:

3. (a) Find the first 4 terms, in ascending powers of x, of the binomial expansion of kx where & is a non-zero constant. Give each term in simplest form. (4) kx f(x) = (5 - 3x) 2- In the expansion of...

Q:

3. (a) Find the first 4 terms, in ascending powers of x, in the binomial expansion of (1 + kx) 10 where k is a non-zero constant. Write each coefficient as simply as possible. (3) Given that in the...

Q:

a. Find the first four terms, in ascending powers of x, of the binomial expansion of (1 + qx) 10 , where q is a non-zero constant. b. Given that in the expansion of (1 + qx) 10 the coefficient of x 3...

Q:

SKILL} CHECK Calculate Differentiate y =(A'1x2 > SKILLS CHECK Calculate n=l Differentiate y =(4x2 x3)4 with respect to x Find the first four terms in ascending powers of x in the binomial expansion...

Q:

a) Write down the first three terms, in ascending powers of x, in the expansion of (1 + ax) n where a 0 and n > 2. b) The coefficient of the x term is half the coefficient of the term in x. Show...

Q:

2a. [1 mark] Write down the first three terms of the binomial expansion of (1 + t) in ascending powers of t. 2b. [4 marks] By using the Maclaurin series for cosx and the result from part (a), show...

Q:

Refer to the Contois Carpets problem, for which the network representation is shown in Figure. Suppose that Contois has a beginning inventory of 50 yards of carpet and requires an inventory of 100...

Q:

Explain how eigenvalues are used to determine the number of factors.