mscroggs.co.uk
mscroggs.co.uk

subscribe

Advent calendar 2017

6 December

\(p(x)\) 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 \(p(6)\)?

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

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2025