Wednesday

September 17, 2014

September 17, 2014

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

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**

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? ...

Algebra - 4x^4-18x^2=0. I have to find out what x equals by factoring. What I ...

please help math factor trinomial - y^3-13y^2+36y Can someone please show me ...

Physics - I'm trying to rearange this 0 = Xo + 2^-1 a t^2 for t I've been told ...

algebra - Can someone help me find value of x. please show step by step examples...

algebra - Can someone help me simplify this rational expression x^2-25 /x^2-3x-...

Math - Factoring Polynomials (please show step by step) -8z^3 + 512w^3

algebra - Can someone please show me how to solve this problem step by step ...

factoring - could anybody help me figure out step by step how to factor this ...