posted by Jasmine20 on .
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
Directions:Find all positive values for "K" for which each of the following can be factored.
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.