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Advent calendar 2017
6 December
All 2017 advent puzzles
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\(p(x)\) is a quadratic with real coefficients. For all real numbers \(x\),
$$x^2+4x+14\leq p(x)\leq 2x^2+8x+18$$
\(p(2)=34\). What is \(p(6)\)?
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106
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Most recent collections
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List of all puzzles
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parabolas
dates
surds
quadrilaterals
geometry
crossnumber
3d shapes
graphs
addition
geometric mean
perfect numbers
sums
gerrymandering
logic
axes
factors
factorials
chocolate
multiples
pascal's triangle
games
binary
rugby
wordplay
symmetry
dice
cryptic clues
crosswords
books
palindromes
sequences
clocks
odd numbers
averages
crossnumbers
chalkdust crossnumber
remainders
sets
bases
consecutive numbers
differentiation
expansions
digital products
planes
coins
speed
scales
dominos
people maths
dodecagons
2d shapes
polynomials
functions
multiplication
pentagons
the only crossnumber
irreducible numbers
probabilty
combinatorics
area
algebra
quadratics
star numbers
hexagons
fractions
perimeter
lines
cards
shapes
regular shapes
determinants
square roots
menace
doubling
means
cube numbers
integration
consecutive integers
advent
trigonometry
sum to infinity
range
proportion
circles
triangles
mean
calculus
tangents
rectangles
arrows
spheres
time
complex numbers
taxicab geometry
percentages
volume
squares
prime numbers
colouring
tiling
ellipses
elections
products
numbers
digital clocks
integers
unit fractions
digits
christmas
sport
partitions
cryptic crossnumbers
probability
folding tube maps
ave
square numbers
routes
cubics
coordinates
geometric means
floors
polygons
median
indices
number
balancing
matrices
chess
even numbers
shape
division
tournaments
triangle numbers
albgebra
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