mscroggs
.co.uk
mscroggs
.co.uk
blog
puzzles
academic
talks
contact
subscribe
↓ ☰ ↓
subscribe
Loading image...
Puzzles
Showing puzzles tagged "albgebra".
Show all puzzles.
24 December
All 2022 advent puzzles
~
More information
The expression \((3x-1)^2\) can be expanded to give \(9x^2-6x+1\). The sum of the coefficients in this expansion is \(9-6+1=4\).
What is the sum of the coefficients in the expansion of \((3x-1)^7\)?
Show answer
Hide answer
The sum of the coefficients can be worked out by substituting \(x=1\) into the polynomial, so the sum of the coefficients is \((3-1)^7\), or
128
.
Tags:
albgebra
,
polynomials
End of puzzles.
Archive
Show me a random puzzle
Most recent collections
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
List of all puzzles
Tags
odd numbers
coins
range
pascal's triangle
sport
3d shapes
combinatorics
planes
dice
proportion
dates
quadratics
geometric mean
coordinates
scales
expansions
spheres
factors
balancing
cryptic clues
mean
ave
rectangles
consecutive integers
time
decahedra
graphs
consecutive numbers
prime numbers
ellipses
geometry
square numbers
powers
complex numbers
symmetry
tiling
chalkdust crossnumber
polygons
elections
clocks
the only crossnumber
angles
tournaments
advent
volume
square roots
tangents
gerrymandering
routes
rugby
functions
people maths
cubics
factorials
triangles
sums
fractions
sum to infinity
pentagons
probabilty
surds
perfect numbers
integers
digits
averages
dodecagons
speed
axes
medians
shapes
crossnumbers
perimeter
median
geometric means
even numbers
multiples
doubling
money
parabolas
addition
division
triangle numbers
regular shapes
neighbours
chess
games
unit fractions
products
numbers grids
partitions
bases
polynomials
differentiation
number
squares
palindromes
grids
lines
floors
means
irreducible numbers
christmas
multiplication
taxicab geometry
chocolate
sets
logic
menace
dominos
digital products
albgebra
shape
matrices
trigonometry
percentages
cube numbers
cards
folding tube maps
remainders
crosswords
books
binary
wordplay
circles
determinants
integration
star numbers
cryptic crossnumbers
2d shapes
arrows
area
probability
colouring
hexagons
square grids
numbers
quadrilaterals
indices
digital clocks
sequences
calculus
algebra
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
List of all puzzles
Tags
integers
quadratics
shape
volume
regular shapes
lines
shapes
percentages
axes
geometric mean
the only crossnumber
parabolas
polygons
multiples
sequences
grids
pentagons
menace
scales
cube numbers
cards
logic
consecutive integers
tournaments
cubics
ellipses
geometry
calculus
polynomials
wordplay
functions
sets
division
square numbers
chalkdust crossnumber
perimeter
neighbours
square roots
algebra
star numbers
integration
dominos
probabilty
unit fractions
symmetry
christmas
surds
triangles
digital products
people maths
mean
digits
floors
squares
folding tube maps
factorials
quadrilaterals
doubling
determinants
gerrymandering
combinatorics
proportion
ave
time
matrices
dates
arrows
colouring
decahedra
median
palindromes
coins
sum to infinity
factors
angles
crossnumbers
cryptic crossnumbers
tiling
spheres
rugby
expansions
money
taxicab geometry
trigonometry
binary
fractions
elections
albgebra
partitions
dice
circles
means
probability
coordinates
number
chess
medians
rectangles
planes
indices
tangents
geometric means
routes
graphs
square grids
odd numbers
3d shapes
digital clocks
numbers
pascal's triangle
speed
2d shapes
addition
cryptic clues
range
bases
dodecagons
crosswords
perfect numbers
complex numbers
area
even numbers
prime numbers
chocolate
products
averages
numbers grids
books
games
clocks
advent
irreducible numbers
remainders
sums
balancing
hexagons
powers
consecutive numbers
multiplication
triangle numbers
differentiation
sport
© Matthew Scroggs 2012–2025