Math Worksheets

Question: I need help with two practice math problems?

I’m trying to get ready for a test in my math class but I totally forgot how to factor! I have two math problems that I found that are like the ones on my review worksheet. Could somebody please help me by showing me the steps on how to do each of them?

1. Factor 3x^3 + 5x^2 – 6x – 10

2. Factor 5ab – 8abc

Thanks for helping, I’m totally lost!

Answer: 3 2
3X + 5X – 6X – 10

3 2
(3X +5X -6X-10)

| 3 2
| 3X +5X -6X-10 Expression to be factored
|
| 2 2
| X (3X+5) From terms 1 & 2, factor GCF = X
|
|
| -2(3X+5) From terms 3 & 4, factor GCF = -2
|
|
| 2
| (X -2)(3X+5) Factored Expression

2
(X -2) (3X+5)

| 2
| X -2 Expression to be Factored
|
| Real unequal, irrational roots. Discriminant = 8 .
| Expression cannot be factored into integral factors

***** Problem Summary *****
Problem: Factor
|
| 3 2
| 3X + 5X – 6X – 10
|

Solution

|
| 2
| (X -2) (3X+5)

ANswer: (x^2-2) (3x+5)
|
——————————————————————–

5AB – 8ABC

| Sort terms in decreasing powers.
– 8ABC + 5AB

– (8ABC-5AB)

|
| Common Factor is AB
| Common Factor is AB Remove from parenthesis.

– AB (8C-5)

***** Problem Summary *****
Problem: Factor
|
| 5AB – 8ABC
|

Solution

|
| – AB (8C-5)
|

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