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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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trigonometry
regular shapes
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speed
algebra
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cryptic clues
wordplay
tangents
products
proportion
triangles
menace
odd numbers
elections
colouring
christmas
geometry
tiling
digital products
clocks
doubling
shapes
angles
digits
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functions
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star numbers
integration
lines
factors
indices
chalkdust crossnumber
perfect numbers
the only crossnumber
squares
means
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decahedra
gerrymandering
pascal's triangle
2d shapes
dice
dominos
taxicab geometry
expansions
percentages
sets
crossnumbers
perimeter
consecutive integers
symmetry
ave
graphs
consecutive numbers
3d shapes
time
square numbers
axes
even numbers
circles
addition
probability
integers
multiples
routes
crosswords
combinatorics
sums
division
books
sum to infinity
volume
factorials
square roots
cube numbers
floors
triangle numbers
cubics
quadrilaterals
area
sequences
range
albgebra
prime numbers
probabilty
digital clocks
averages
planes
calculus
money
cryptic crossnumbers
coins
multiplication
folding tube maps
surds
cards
people maths
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coordinates
mean
dates
quadratics
shape
irreducible numbers
numbers
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