Binomial
Problem Sheet
29/09/25
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Guidelines and tips
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
A good worksheet for practising binomial expansions
Typology: Study Guides, Projects, Research
2025/2026
1 / 3
This page cannot be seen from the preview
Don't miss anything!
Related documents
Partial preview of the text
Download Binomial Question Sheet and more Study Guides, Projects, Research Mathematics in PDF only on Docsity!
Problem Sheet
Problem Sheet
Binomial “BEDFORD Problem Sheet i "MATHS < sa* 29/09/25 : a y) 1) What is the first term of the expansion of (5 + x)~°?. 2) What is the coef ficient of x* for (1 + x)15?. 1 3) What is the coef ficient of x3 for (3 + 2x)2?. 1 4) Expand (1+ 7x)(1 + 2x)7 up to and including x? terms Additionally, quote the values of x this expansion is valid for. eT le] Binomial We 29/09/25 “BEDFORD Problem Sheet i MATHS. /¢ 2 1) What is the coef ficient of x? for (5 + 2x) 3 to five decimal places?. 1— 2x state the values for which the expansion is valid. 2) Expand up to and including the term of x?, 3) a) Write out the first three terms in hte expansion of 1 v5 b) Show that Jos = 7 c) By substituting x = 0.1 in your expansion from (a),and using your result from (b) find an approximate value for V5 1 v1—-—2x 4) a) Find the binomial expansion of (V16 - 80x) , expand up to and including the term x? b) Show that 4 is the smallest positive integer value of x that makes the expansion (up to x*) an integer.