Question

•What is the structure of a polynomial expression that can be factored by grouping?
•How is the GCF used when factoring by grouping

Answer 1

@yomamabf @Nnesha @campbell_st @hybrik @carolinar7 @chealseaa_grinn

Answer 2

You can factor by grouping when the polynomial has four terms, but no single GCF. You should be able to arrange the terms into two groups, each with a unique GCF. When you factor the two groups you'll have the same pair of terms left.

25x³ + 5x² + 30x + 6
(25x³ + 5x²) + (30x + 6)
GCF of first group is 5x² and for second group it's 6.
5x²(5x + 1) + 6(5x + 1)
Now there's a gcf of (5x + 1) so we can write
(5x + 1)(5x² + 6)