math,factoring,help
posted by Jasmine20 .
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^220x+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^220x+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.
Respond to this Question
Similar Questions

correct , math
Directions: Facotor each of the following polynomials completely. 14x ^2 20x + 6 the answer that i got was: 7x^210x+3= (7x3)(x1) not quite. You left out the two, you just cant throw it away. 2(7x3)(x1) can you show me please … 
math, help
directions are: Factor each of the following polynomials completely. 14x^220x+6 I am at this almost last point but i don't know what to do after or if this is the answer 7x^10x+3=2(7x3)(x1) your final answer is correct I am going … 
Math Algebra
Resolve(17x²+14x + 9) – (13x² +6x  12) 30xsquared+20x+21 I'll try to be helpful and show the work. This is the method I learned last quarter. (17x"sq"+14x+9) + (13x"sq"+6x+12) = (30X"sq"+20x+21) I used the vertical method but … 
Algebra
4x^418x^2=0. I have to find out what x equals by factoring. What I did was Factor 2x^2(2x^2+9)=0 then 2x^2(2x+3)(x+3), resulting in 1.5 and three. But these answers are wrong according to my book. Can you show me step by step how … 
Physics
Can someone please show me step by step how to normalize e^5x in the interval (0, infinity)? 
algebra
Can someone please show me how to solve this problem step by step thanks an advance sqrt 7x sqrt 21y multiply then if possible simply by factoring 
math
can you show me step by step how to factor 15x^214x8 
Math
Factoring Polynomials (please show step by step) 8z^3 + 512w^3 
Polynomials
Can someone show me step by step how to get the sum diff and product of this problem x^3 〖2x〗^2 + 3x1 ∶ x^2 x+4 
Algebra 1StepbyStep
Can someone show me how to solve these stepbystep?