Factoring by Grouping Worksheet with Answer Key

A two-page factoring practice worksheet gives students nine four-term quadratic expressions and nine four-term cubic or two-variable expressions to factor by grouping, then match one of the two resulting binomial factors to a lettered answer bank. Problems 1-9 draw from a nine-letter bank (A-I) built from quadratics like x^2+4x-2x-8, while problems 10-18 shift to cubic and two-variable expressions such as 2x^3+4x^2y^2+3xy+6y^3 and draw from a separate bank (J-R). A fully worked answer key follows, showing both binomial factors and the matching letter for every one of the 18 problems. Because each of the 18 letters is used exactly once, the activity is self-checking - a repeated or unused letter signals a factoring mistake somewhere in the set.