Question

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression

Answer 1

@Vocaloid Is the master of math here.

Answer 2

First you group the terms within 2 sets of brackets

(x^3 - 7x^2) - (5x - 35)

The sign between 5x and 35 has to change (basically we are applying the opposite of the distributive property so the sign needs to change to a negative sign to retain the positive sign when distributing)

Answer 3

Then you will find the GCF within each bracket, factor them out to get an expression like

A(B-C) - D(B-C)

Then rewrite your final expression as
(A-D)(B-C)

Once again applying the opposite of the distributive property

Answer 4

That's a lot to take in but I hope it was of use, like if you have any questions