SOLUTION: Hi, can you please help me?? 1. I need to factor this problem first: 2x^2+2x+1 ---> I think it is prime, can you tell if I'm correct, please? 2. I also need to solve th

Question 404615: Hi, can you please help me??
1. I need to factor this problem first:
2x^2+2x+1 ---> I think it is prime, can you tell if I'm correct, please?
2. I also need to solve the following equation:
8x^3+1=0 ---> I tried doing the sum of two cubes, and ended up with x= -1/2, 1/2, and 1/2...can you please tell me if I'm doing it wrong, and show me how to do it correctly?
Thank you so much!
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
1. You are right it is prime. A quick way to tell if it is prime is to find the value of . You may recognize this as the expression inside the square root in the Quadratic Formula. This is expression is called the discriminant. It can be used to determine the number and types of solutions to a quadratic equaiton. It can also be used to determine if the quadratic will factor.

The value of your discriminant:

which simplifies as follows:

If the discriminant is not a perfect square, then the quadratic expression will not factor. -4 is not a perfect square (4 is but not -4) so this verifies that the expression is prime.

2. I solved this problem for someone else earlier today. Click here to see it.
RELATED QUESTIONS
All that I have to do is factor this but I think that it is prime. Can someone please... (answered by Earlsdon)

hi can you pls help me to my assignment? 2x+y=1 i need you... (answered by tutorcecilia)

Hi I have a substitution problem. I think I have the answer ,but I don't think I am... (answered by checkley71)

Hello, The problem that I have is that I need to verify the identity:... (answered by richwmiller,MathTherapy)

Hi can you help me with this problem? The problem is a^2-2a / 4-2a.I need to simplify... (answered by ankor@dixie-net.com)

Can somebody please tell me how to do this in steps , i had a test on this a day and i... (answered by Fombitz)

I really need help with this problem on my algebra 1-2 Homework. It is asking me to tell... (answered by josgarithmetic)

i need help with this one math problem i already did the problem but i don't think it's... (answered by AnlytcPhil)

#24.Factor completely. If a polynomial is prime, state this. 9 + 8t^2 − 18t (answered by Earlsdon)