# GCF and Factoring

Not what you're looking for?

1. Find the GCF of the set of monomials of 252, 468

2. Factor the polynomial 35 y + 14, if possible.

3. Factor the polynomial 7 a ^6 b ^7 c^ 5 - 35 a ^7 b ^5 c ^6, if possible.

4. Factor the expression 2(x + y) - 19 t(x + y).

5. Factor 17 x ^2 + 17 x y + 2 x + 2 y by grouping.

6. Factor the polynomial.

25 y ^2 - 4

7. Factor the polynomial.

9 a ^8 b ^6 c ^6 - 64 d ^8

8. Complete the factorization. x^2 + 5x - 6 = x + 6) . ____

9. Use a special product formula to factor the perfect square trinomial.

b2 + 8b + 16

10. True or False?

The trinomial b 2 + 7 b + 20 is prime.

11. Factor the trinomial.

If the lead coefficient is negative, begin by factoring out -1.

- x ^2 - 4 x + 45.

12. Factor the trinomial. Factor out all common monomials first.

35 x ^3 - 61 x ^2 + 8 x.

13. True or False?

a ^4 - 10 a ^2 + 16 = ( a ^2 - 8)( a ^2 - 2)

14. Use a special product formula to factor the perfect square trinomial.

49x^2 - 56x + 16

##### Purchase this Solution

##### Solution Summary

The following posting helps with problems involving greatest common factor and factoring.

##### Solution Preview

1. GCF - you can read more here http://www.purplemath.com/modules/lcm_gcf.htm

252 - factors = 2 x 2 x 3 x3 x7

468 - factors = 2x2x3x3x13

GCF = 2X2X3X3 =36

2. 35Y +14 = 7(5Y+2)

3. 7 a ^6 b ^7 c^ 5 - 35 a ^7 b ^5 c ^6 = 7a^6b^5c^5(b^2 -5ac)

4. 2(x + y) - 19 t(x + y).

= (x+y) (2-19t)

5. 17 x ^2 + 17 x y + 2 x + ...

###### Education

- BE, Bangalore University, India
- MS, University of Wisconsin-Madison

###### Recent Feedback

- "Your explanation to the answers were very helpful."
- "What does 1 and 0 means in the repair column?"
- "Went through all of the formulas, excellent work! This really helped me!"
- "try others as well please"
- "Thank you, this helped a lot. I was not sure how to plug in those numbers to a formula. This was a great help. Now I have to figure out how to explain cost of capital is used in net present value analysis, and how cost of capital is used in net present value analysis. This stuff gets confusing."

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.