This math topic focuses on identifying the greatest common factor (GCF) from algebraic expressions containing polynomial and quadratic functions. Specifically, each problem involves determining the GCF of terms in algebraic expressions that include a variable, showing quadratic forms like \( w^2 - 7w \), \( x^2 - 8x \), and \( q^2 + 7q \), among others. The task is to select the correct GCF from two provided options for each expression, enhancing skills in factorizing and simplifying algebraic terms as part of a broader unit on polynomials and quadratics.