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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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remainders
cryptic crossnumbers
proportion
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even numbers
menace
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square roots
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colouring
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planes
digital clocks
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factors
lines
hexagons
chess
prime numbers
complex numbers
geometric mean
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averages
games
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digital products
the only crossnumber
dominos
crosswords
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balancing
chalkdust crossnumber
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range
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scales
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angles
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binary
surds
numbers
tangents
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cube numbers
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differentiation
ave
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christmas
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