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 2025
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
List of all puzzles
Tags
balancing
xor
digital clocks
numbers
combinatorics
cards
tangents
regular shapes
folding tube maps
consecutive integers
ave
digits
range
arrows
dice
factorials
money
median
chess
averages
logic
rugby
squares
advent
grids
surds
square numbers
tournaments
cube numbers
remainders
hexagons
symmetry
neighbours
shapes
gerrymandering
angles
digital products
chocolate
chalkdust crossnumber
multiplaction squares
clocks
circles
taxicab geometry
lists
3d shapes
wordplay
integers
floors
percentages
mean
polynomials
determinants
indices
polygons
dates
products
palindromes
partitions
bases
shape
unit fractions
matrices
colouring
doubling
sum to infinity
christmas
sequences
geometric means
geometric mean
division
differentiation
rectangles
probability
cubics
coordinates
dodecagons
crosswords
prime numbers
crossnumbers
the only crossnumber
area
games
2d shapes
powers
planes
even numbers
proportion
complex numbers
trigonometry
people maths
perimeter
axes
prime factors
number
quadratics
sets
volume
multiplication
fractions
parabolas
time
calculus
dominos
graphs
decahedra
speed
square roots
albgebra
menace
algebra
pentagons
scales
triangle numbers
quadrilaterals
coins
triangles
books
square grids
cryptic clues
probabilty
irreducible numbers
integration
expansions
tiling
multiples
functions
consecutive numbers
elections
odd numbers
geometry
pascal's triangle
sums
addition
sport
medians
spheres
lines
factors
binary
ellipses
routes
star numbers
perfect numbers
means
cryptic crossnumbers
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2025
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
List of all puzzles
Tags
products
floors
digits
coordinates
square grids
menace
number
circles
integration
tournaments
partitions
spheres
shape
pentagons
cryptic clues
fractions
probability
complex numbers
people maths
dates
prime factors
sum to infinity
ave
triangles
parabolas
geometry
crosswords
pascal's triangle
rugby
polynomials
wordplay
sport
doubling
albgebra
triangle numbers
determinants
time
regular shapes
perimeter
coins
functions
indices
remainders
odd numbers
scales
powers
proportion
routes
folding tube maps
averages
books
arrows
median
planes
means
xor
chess
tiling
division
cubics
expansions
multiplaction squares
binary
dominos
lists
combinatorics
consecutive numbers
graphs
calculus
volume
2d shapes
grids
angles
addition
factorials
lines
games
balancing
symmetry
numbers
shapes
geometric mean
tangents
star numbers
multiples
prime numbers
square roots
digital products
trigonometry
range
surds
taxicab geometry
advent
palindromes
hexagons
dodecagons
clocks
chalkdust crossnumber
percentages
mean
neighbours
colouring
christmas
speed
crossnumbers
digital clocks
square numbers
3d shapes
consecutive integers
unit fractions
even numbers
squares
irreducible numbers
integers
geometric means
perfect numbers
probabilty
cryptic crossnumbers
dice
sequences
rectangles
sums
sets
the only crossnumber
ellipses
polygons
quadrilaterals
quadratics
bases
decahedra
area
matrices
logic
money
factors
differentiation
cube numbers
gerrymandering
multiplication
elections
medians
chocolate
axes
cards
algebra
© Matthew Scroggs 2012–2026