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const memberRegex = /[+-]?[\w\d^]+/g;
const varRegex = /[a-zA-Z]/;
 
const getMembers = (polynom) => polynom.match(memberRegex) || [polynom];
const getCoeff = (mem) => parseInt(mem) || (mem[0] === "-" ? -1 : 1) || 1;
const getVar = (str) => str.match(varRegex);
const getDegree = (member) => {
  const units = member.split("^");
  return !isNaN(member) ? 0 : units[1] ? +units[1] : 1;
};
 
const peelSpaces = (str) => str.replaceAll(" ", "");
const sortByPow = ([pow1], [pow2]) => pow2 - pow1;
const sign = (c) => (c === -1 ? "-" : c === 1 ? "" : c);
 
function polynomialProduct(polynom1, polynom2) {
  if (polynom1 === "1") return polynom2;
  if (polynom2 === "1") return polynom1;
  if (polynom1 === "0" || polynom2 === "0") return "0";
 
  polynom1 = peelSpaces(polynom1);
  polynom2 = peelSpaces(polynom2);
 
  const pms1 = getMembers(polynom1);
  const pms2 = getMembers(polynom2);
  const degs1 = pms1.map(getDegree);
  const degs2 = pms2.map(getDegree);
  const coeffs1 = pms1.map(getCoeff);
  const coeffs2 = pms2.map(getCoeff);
 
  const pairs1 = coeffs1.map((c1, i) => [c1, degs1[i]]);
  const pairs2 = coeffs2.map((c2, i) => [c2, degs2[i]]);
 
  const vault = new Map();
 
  pairs2.forEach((pair2) => {
    const [coeff2, pow2] = pair2;
    pairs1.forEach((pair1) => {
      const [coeff1, pow1] = pair1;
      const coeffsProduct = coeff1 * coeff2;
      const powsSum = pow1 + pow2;
      vault.set(
        powsSum,
        vault.has(powsSum) ? vault.get(powsSum) + coeffsProduct : coeffsProduct
      );
    });
  });
 
  const variable = getVar(polynom1 + polynom2);
  const result = [...vault.entries()].sort(sortByPow).reduce((acc, pair) => {
    let [deg, coeff] = pair;
    if (coeff === 0) return acc;
    if (acc !== "" && coeff > 0) acc += "+";
    if (!deg) acc += coeff;
    else {
      acc += `${sign(coeff)}${variable}`;
      deg > 1 && (acc += `^${deg}`);
    }
    return acc;
  }, "");
 
  return result;
}

Main.java:1: error: class, interface, or enum expected
const memberRegex = /[+-]?[\w\d^]+/g;
^
Main.java:1: error: illegal character: '\'
const memberRegex = /[+-]?[\w\d^]+/g;
                           ^
Main.java:1: error: illegal character: '\'
const memberRegex = /[+-]?[\w\d^]+/g;
                             ^
Main.java:2: error: class, interface, or enum expected
const varRegex = /[a-zA-Z]/;
^
Main.java:4: error: class, interface, or enum expected
const getMembers = (polynom) => polynom.match(memberRegex) || [polynom];
^
Main.java:5: error: class, interface, or enum expected
const getCoeff = (mem) => parseInt(mem) || (mem[0] === "-" ? -1 : 1) || 1;
^
Main.java:6: error: class, interface, or enum expected
const getVar = (str) => str.match(varRegex);
^
Main.java:7: error: class, interface, or enum expected
const getDegree = (member) => {
^
Main.java:9: error: class, interface, or enum expected
  return !isNaN(member) ? 0 : units[1] ? +units[1] : 1;
  ^
Main.java:10: error: class, interface, or enum expected
};
^
Main.java:12: error: class, interface, or enum expected
const peelSpaces = (str) => str.replaceAll(" ", "");
^
Main.java:13: error: class, interface, or enum expected
const sortByPow = ([pow1], [pow2]) => pow2 - pow1;
^
Main.java:14: error: class, interface, or enum expected
const sign = (c) => (c === -1 ? "-" : c === 1 ? "" : c);
^
Main.java:16: error: class, interface, or enum expected
function polynomialProduct(polynom1, polynom2) {
^
Main.java:18: error: class, interface, or enum expected
  if (polynom2 === "1") return polynom1;
  ^
Main.java:19: error: class, interface, or enum expected
  if (polynom1 === "0" || polynom2 === "0") return "0";
  ^
Main.java:21: error: class, interface, or enum expected
  polynom1 = peelSpaces(polynom1);
  ^
Main.java:22: error: class, interface, or enum expected
  polynom2 = peelSpaces(polynom2);
  ^
Main.java:24: error: class, interface, or enum expected
  const pms1 = getMembers(polynom1);
  ^
Main.java:25: error: class, interface, or enum expected
  const pms2 = getMembers(polynom2);
  ^
Main.java:26: error: class, interface, or enum expected
  const degs1 = pms1.map(getDegree);
  ^
Main.java:27: error: class, interface, or enum expected
  const degs2 = pms2.map(getDegree);
  ^
Main.java:28: error: class, interface, or enum expected
  const coeffs1 = pms1.map(getCoeff);
  ^
Main.java:29: error: class, interface, or enum expected
  const coeffs2 = pms2.map(getCoeff);
  ^
Main.java:31: error: class, interface, or enum expected
  const pairs1 = coeffs1.map((c1, i) => [c1, degs1[i]]);
  ^
Main.java:32: error: class, interface, or enum expected
  const pairs2 = coeffs2.map((c2, i) => [c2, degs2[i]]);
  ^
Main.java:34: error: class, interface, or enum expected
  const vault = new Map();
  ^
Main.java:36: error: class, interface, or enum expected
  pairs2.forEach((pair2) => {
  ^
Main.java:38: error: class, interface, or enum expected
    pairs1.forEach((pair1) => {
    ^
Main.java:40: error: class, interface, or enum expected
      const coeffsProduct = coeff1 * coeff2;
      ^
Main.java:41: error: class, interface, or enum expected
      const powsSum = pow1 + pow2;
      ^
Main.java:42: error: class, interface, or enum expected
      vault.set(
      ^
Main.java:46: error: class, interface, or enum expected
    });
    ^
Main.java:47: error: class, interface, or enum expected
  });
  ^
Main.java:49: error: class, interface, or enum expected
  const variable = getVar(polynom1 + polynom2);
  ^
Main.java:50: error: class, interface, or enum expected
  const result = [...vault.entries()].sort(sortByPow).reduce((acc, pair) => {
  ^
Main.java:52: error: class, interface, or enum expected
    if (coeff === 0) return acc;
    ^
Main.java:53: error: class, interface, or enum expected
    if (acc !== "" && coeff > 0) acc += "+";
    ^
Main.java:54: error: class, interface, or enum expected
    if (!deg) acc += coeff;
    ^
Main.java:55: error: class, interface, or enum expected
    else {
    ^
Main.java:56: error: illegal character: '`'
      acc += `${sign(coeff)}${variable}`;
             ^
Main.java:56: error: illegal character: '`'
      acc += `${sign(coeff)}${variable}`;
                                       ^
Main.java:57: error: class, interface, or enum expected
      deg > 1 && (acc += `^${deg}`);
      ^
Main.java:57: error: illegal character: '`'
      deg > 1 && (acc += `^${deg}`);
                         ^
Main.java:57: error: illegal character: '`'
      deg > 1 && (acc += `^${deg}`);
                                 ^
Main.java:58: error: class, interface, or enum expected
    }
    ^
Main.java:60: error: class, interface, or enum expected
  }, "");
  ^
Main.java:62: error: class, interface, or enum expected
  return result;
  ^
Main.java:63: error: class, interface, or enum expected
}
^
49 errors

Standard output is empty