mscroggs
.co.uk
mscroggs
.co.uk
blog
puzzles
academic
talks
contact
subscribe
↓ ☰ ↓
Click here to win
prizes
by solving the
mscroggs.co.uk
puzzle Advent calendar.
Click here to win
prizes
by solving the
mscroggs.co.uk
puzzle Advent calendar.
subscribe
Loading image...
Advent calendar 2022
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
Archive
Show me a random puzzle
Most recent collections
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
Advent calendar 2020
List of all puzzles
Tags
sport
advent
lines
binary
axes
angles
planes
functions
doubling
tiling
spheres
clocks
3d shapes
decahedra
colouring
numbers
shapes
cube numbers
averages
the only crossnumber
symmetry
2d shapes
pentagons
dates
palindromes
complex numbers
differentiation
multiples
scales
time
remainders
fractions
matrices
median
sums
volume
unit fractions
chalkdust crossnumber
folding tube maps
coordinates
star numbers
surds
albgebra
percentages
digital products
cryptic crossnumbers
perimeter
bases
coins
combinatorics
crossnumber
arrows
circles
probability
rectangles
area
books
products
crossnumbers
square numbers
factors
partitions
crosswords
triangle numbers
rugby
square roots
christmas
parabolas
geometry
speed
menace
squares
consecutive numbers
sum to infinity
consecutive integers
hexagons
polynomials
digital clocks
people maths
tangents
ellipses
geometric means
multiplication
triangles
gerrymandering
money
shape
floors
odd numbers
routes
means
dodecagons
ave
proportion
balancing
addition
algebra
games
division
chess
calculus
tournaments
prime numbers
mean
wordplay
range
cubics
digits
dice
taxicab geometry
quadratics
number
determinants
expansions
polygons
chocolate
dominos
perfect numbers
elections
sequences
cards
probabilty
irreducible numbers
logic
integers
sets
indices
integration
grids
pascal's triangle
quadrilaterals
factorials
cryptic clues
geometric mean
even numbers
graphs
regular shapes
trigonometry
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
Advent calendar 2020
List of all puzzles
Tags
tangents
symmetry
taxicab geometry
doubling
integers
circles
remainders
unit fractions
perimeter
colouring
star numbers
consecutive integers
determinants
3d shapes
sets
parabolas
functions
geometric means
shape
squares
surds
perfect numbers
combinatorics
balancing
averages
calculus
coordinates
multiplication
sport
indices
dodecagons
arrows
proportion
division
rugby
hexagons
coins
cubics
mean
algebra
wordplay
number
complex numbers
digits
decahedra
binary
dice
numbers
elections
albgebra
planes
geometry
rectangles
people maths
partitions
triangles
ave
probabilty
cryptic crossnumbers
2d shapes
shapes
gerrymandering
factors
matrices
cards
books
prime numbers
square numbers
sequences
dates
scales
lines
ellipses
fractions
sums
time
crossnumber
percentages
area
quadratics
speed
tournaments
christmas
median
floors
chocolate
probability
geometric mean
trigonometry
polynomials
tiling
chalkdust crossnumber
crosswords
routes
consecutive numbers
means
cryptic clues
digital products
money
odd numbers
square roots
folding tube maps
grids
bases
addition
games
factorials
palindromes
logic
crossnumbers
range
the only crossnumber
spheres
volume
axes
dominos
multiples
regular shapes
pentagons
clocks
even numbers
products
quadrilaterals
sum to infinity
menace
graphs
integration
advent
expansions
angles
triangle numbers
cube numbers
differentiation
chess
polygons
pascal's triangle
irreducible numbers
digital clocks
© Matthew Scroggs 2012–2024