Saturday
September 20, 2014

Homework Help: Algebra II factoring

Posted by Lane on Thursday, January 11, 2007 at 2:30pm.

I need help. i am having trouble factoring trinomials into binomials.


an example problem is 4n^2-5n-6



can someone show me step by step how to factor these kind of problems easily?

Take the coefficient of your quadratic term in this case 4 and multiply it by your constant term in this case -6. You get -24. Then you want to figure out two numbers which when multiplied together give you -24 and when added together give you the value of the coefficient of your linear term in this case -5.
So, the two numbers are -8 and 3.
Take those two numbers and rewrite your problem changing you linear term in this case -5n using -8 and 3.
Changed problem is: 4n^2-8n+3n-6
Now factor by grouping. The first two terms can be factored into 4n(n-2) and the last two terms can be factored into 3(n-2). Notice you have the same factor in parentheses.
So, the original problem (4n^2-5n-6)can be factored into (4n+3)(n-2).

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Math (Algebra 2) - Factoring by Using a Quadratic Form Problem: x^4 + 8x^2 - 20 ...
algebra - Can someone please show me how to solve this problem step by step ...
Algebra: factoring - I need to find the value of x. 9x^3 + 9x = 30x^2 It's ...
Algebra - 4x^4-18x^2=0. I have to find out what x equals by factoring. What I ...
Algebra 2 - I need to know how to solve quadratic equations by factoring. Can ...
Factoring - x2(squared)-4x+4 I would factor this into (X - 2)(X - 2) If you don'...
Math(factoring) - I need help with factoring trinomials completely. My teacher's...
algebra2 - Can you explain how to factor the following trinomials forms: x2 + bx...
factoring - could anybody help me figure out step by step how to factor this ...
Algebra (Factoring) - What's the easiest way to factor this completely? 2x^4-10x...

Search
Members