A special for our Algebra Project.

2. Talk it: Group Factoring
By Tangerine

21. Objectives for Group Factoring:
> Factoring with Four Terms
> Factoring Trinomials by Grouping

22. Factoring a Four-Term Polynomial
1. Factor the GCF from each
group of two terms
2. Factor out the binomial left

23. Just like this:
4n3 + 8n2 - 5n - 10
= 4n2(n + 2) - 5(n + 2)
= (4n2 - 5) (n + 2)

24. Factoring Completely
1. Factor out the GCF
2. Factor by grouping
3. Factor again

25. Just like this:
12p4 + 10p3 - 36p2 - 30p
= 2p(6p3 + 5p2 - 18p -15)
= 2p[(p2(6p + 5) - 3(6p + 5)]
= 2p(p2 - 3)(6p + 5)

29. Factoring Trinomials
by Grouping
(ax2 + bx + c)
1. Find the product of ac.
2. Find the two factors of a and
c that sums to bx
3. Rewrite using the sum
4. Factor by grouping

30. Just like this:
48x2 + 46x + 5
= 48x2 + (6 + 40)x + 5
= 48x2 + 4x + 6x + 5
= 6x(8x + 1) + 5(8x + 1)
= (6x + 5)(8x + 1)

40. Reminders:
1. Before you factor by grouping,
you may need to factor the GCF
of all the terms of a polynomial.
Remember, a polynomial is not
completely factored until there
are no common factors other than one.

41. Reminders:
2. Some may want to factor 5,
instead of -5, from -5 - 10 and
get 5(-n - 2). To make the new
factor turn out the way they should,
they need to factor out - 1 as well.

42. Reminders:
3. Always look for a GCF
to factor out.