将嵌套列表中的方程式左对齐

Question

我希望方程式在此特定场景（即嵌套枚举）中左对齐，并且不想更改整个文章的环境设置。我该怎么做？以下是我的代码和序言

\documentclass{article}
\usepackage[a4paper,portrait, margin=1in]{geometry}
\usepackage{graphicx}
\graphicspath{ {./images/} }
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{float} %% keep tables and figures in float position
\usepackage[utf8]{inputenc}

...

\item Find the unique cubic polynomial P that satisfies 
    \begin{equation*}
        P(-2) = 1, P(-1) = 4 P(0) = 2, P(2) = 4.
    \end{equation*}
    Write P in both the Lagrange and Newton forms 
    \begin{itemize}
        \item Lagrange: $construct l_j for j \in  [1,4]$ \par
        \begin{equation*}
            \begin{aligned}
                l_1(x) = \frac{1}{-8}(x+1)x(x-2) \\
                l_2(x) = \frac{1}{3}(x+2)x(x-2) \\
                l_3(x) = \frac{1}{-4}(x+2)(x+1)(x-2) \\
                l_4(x) = \frac{1}{24}(x+2)(x+1)x \\
                P(x) = l_1(x)+4l_2(x)+2l_3(x)+4l_4(x)    
            \end{aligned}
        \end{equation*}
        \item Newton

Answer 1

我假设您希望将aligned环境中的 5 个方程式对齐到它们各自的=（“等于”）符号上。&应使用（“与号”）符号来指示所需的对齐点。（正如您所发现的，如果没有指定对齐点，方程式最终将右对齐。）

\documentclass{article}
\usepackage[a4paper,portrait,margin=1in]{geometry}
\usepackage{graphicx}
\graphicspath{ {./images/} }
\usepackage{amsmath,amssymb}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\begin{document}
\begin{itemize}
\item Find the unique cubic polynomial $P$ that satisfies 
    \begin{equation*}
        P(-2)=1,\quad P(-1)=4,\quad P(0)=2,\quad P(2)=4\,.
    \end{equation*}
\item Write $P$ in both the Lagrange and Newton forms.
    \begin{itemize}
    \item Lagrange: Construct $l_j$ for $j \in \{1,2,3,4\}$ 
        \begin{equation*}
            \begin{aligned}
                l_1(x) &= -\frac{1}{8}(x+1)x(x-2) \\
                l_2(x) &= \frac{1}{3}(x+2)x(x-2) \\
                l_3(x) &= -\frac{1}{4}(x+2)(x+1)(x-2) \\
                l_4(x) &= \frac{1}{24}(x+2)(x+1)x \\
                P(x)   &= l_1(x) +4l_2(x) +2l_3(x) +4l_4(x)    
            \end{aligned}
        \end{equation*}
        \item Newton: \dots
    \end{itemize}
\end{itemize}
\end{document}