Question

how do I factor x^3 + 5x^2 - 5x- 25 by grouping?

Answer 1

Factor the greatest common factor (GCF) from each group.

More Detail
(x2(x+5)−5(x+5))

Factor the polynomial by grouping the first two terms together and finding the greatest common factor (GCF). Next, group the second two terms together and find the GCF. Since both groups contain the factor (x+5), they can be combined.

(x2−5)(x+5)

Answer 2

\[x ^{3}+5x ^{2}-5x-25\] This equation can be grouped by splitting it in half. So first work the first two terms into \[x ^{2}(x+5)\] Then you can work with the second half into \[-5(x+5)\] notice how the term in ( ) are the same. combine these and form the equation \[(x+5)(x ^{2}-5)\]

Answer 3

okay thank you!