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.
Showing a random 20 of 50 problems.
Example 1
hardFactor by grouping.
Example 2
challengeFactor by grouping.
Example 3
easyFactor .
Example 4
easyFactor by grouping.
Example 5
easyFactor by grouping.
Example 6
easyFactor by grouping.
Example 7
mediumAfter factoring as , what is the next step?
Example 8
easyComplete the factoring: .
Example 9
mediumFactor by grouping.
Example 10
challengeFactor and identify all real roots.
Example 11
easyFactor by grouping.
Example 12
challengeShow that factors by grouping, and find all real roots.
Example 13
mediumFactor by grouping.
Example 14
hardFactor by grouping.
Example 15
mediumFactor by grouping.
Example 16
hardFactor by grouping.
Example 17
hardFactor completely.
Example 18
mediumFactor by grouping.
Example 19
hardFactor by grouping.
Example 20
mediumFactor by grouping.