MathDB
Least possible value

Source: 2019 AMC 10A #19

February 8, 2019
AMC 102019 AMC 10A2019 AMCAMCalgebra

Problem Statement

What is the least possible value of (x+1)(x+2)(x+3)(x+4)+2019(x+1)(x+2)(x+3)(x+4)+2019where xx is a real number?
<spanclass=latexbold>(A)</span>2017<spanclass=latexbold>(B)</span>2018<spanclass=latexbold>(C)</span>2019<spanclass=latexbold>(D)</span>2020<spanclass=latexbold>(E)</span>2021<span class='latex-bold'>(A) </span> 2017 \qquad<span class='latex-bold'>(B) </span> 2018 \qquad<span class='latex-bold'>(C) </span> 2019 \qquad<span class='latex-bold'>(D) </span> 2020 \qquad<span class='latex-bold'>(E) </span> 2021