mscroggs.co.uk
mscroggs.co.uk

subscribe

Advent calendar 2017

Archive

Show me a random puzzle
 Most recent collections 

Tags

2d shapes hexagons colouring perfect numbers triangles polygons integers square roots money factors christmas clocks bases regular shapes folding tube maps grids trigonometry shape division star numbers coordinates crossnumbers multiplication scales symmetry ave functions dodecagons rugby means balancing menace surds prime numbers rectangles triangle numbers differentiation cryptic crossnumbers geometry logic people maths probability squares sums books circles irreducible numbers crosswords factorials calculus routes graphs fractions area cards ellipses sequences shapes dice parabolas cube numbers time lines quadratics square numbers arrows sport multiples pascal's triangle chalkdust crossnumber averages speed wordplay doubling mean complex numbers chess integration algebra number 3d shapes palindromes probabilty cryptic clues addition digits proportion planes odd numbers indices volume dates floors coins unit fractions taxicab geometry games partitions spheres advent remainders sum to infinity chocolate angles percentages numbers perimeter

Archive

Show me a random puzzle
▼ show ▼

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 \(p(6)\)?
© Matthew Scroggs 2019