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