Posted by **Jasmine20** on Wednesday, January 31, 2007 at 7:22pm.

Can someone please show me step by step how to do these. I've read the book and there examples and It is just not clicking.

Directions: Factor each of the following polynomials completely

Problem:#1

14x^2-20x+6

Directions:Find all positive values for "K" for which each of the following can be factored.

Problem# 2

x^2 + x - K

I'll appreciate it...

14x^2-20x+6 = 2 (7x^2 -10x + 3)

You then attempt to factor

7x^2 -10x + 3 as follows:

7x^2 -10x + 3 = (ax + b)(cx + d)

Then a*c = 7 and b*d = 3 This then leads to:

7x^2 -10x + 3 = (7x + b)(x + d)

The coefficient of x is -10, if you work out the product you see that it is:

7*d + b

This means that you can take d = -1 and b = -3:

7x^2 -10x + 3 = (7x - 3)(x - 1)

thank you very much.

## Answer this Question

## Related Questions

- Math - Factoring Polynomials (please show step by step) -8z^3 + 512w^3
- Physics - Can someone please show me step by step how to normalize e^-5x in the ...
- Algebra 1--Step-by-Step - Can someone show me how to solve these step-by-step? ...
- Polynomials - Can someone show me step by step how to get the sum diff and ...
- Algebra - 4x^4-18x^2=0. I have to find out what x equals by factoring. What I ...
- algebra - Can someone please show me how to solve this problem step by step ...
- algebra2 - Can you explain how to factor the following trinomials forms: x2 + bx...
- math,correction - can someone check these for me please.... problem#4 Directions...
- Math - Can someone show me step by step on how to factor/solve this problem ...
- Algebra (Factoring) - What's the easiest way to factor this completely? 2x^4-10x...