Practice Factoring by Grouping in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A factoring technique for polynomials with four or more terms: group terms into pairs, factor the GCF from each pair, then factor out the common binomial factor.
Imagine four terms that seem unrelated. By cleverly grouping them into two pairs and factoring each pair separately, a common binomial factor often emerges—like finding a hidden pattern by rearranging puzzle pieces.
Example 1
mediumFactor x^3 + 3x^2 + 2x + 6 by grouping.
Example 2
hardFactor 6x^3 - 9x^2 - 4x + 6 by grouping.
Example 3
easyFactor xy + 3x + 2y + 6.
Example 4
mediumFactor 2x^3 - x^2 + 8x - 4.