SOLUTION: I need help with two problem. 1.Can you give me an example of a polnomial and get its factors? 2.Can you factor this step by step? {{{x^2+8x+7}}}

Question 211810: I need help with two problem.
1.Can you give me an example of a polnomial and get its factors?
2.Can you factor this step by step?
Answer by gypsy1274(9) (Show Source): You can put this solution on YOUR website!
1. Creating a polynomial is simple. Start with your factors.
you can use any numbers you want for this. At this point, you can choose the operation + or - that you want as well. To get the polynomial, just FOIL. (First, Inside, Outside, Last)
First:; Inside:; Outside:; Last:
So, the expression is:

Combine like terms:
This is a polynomial and the factors are the ones you started with.
2.
To factor, we are going to do the exact opposite of what we did in problem number 1. Your first two numbers have to multiply to be so there is only one choice. It must be x*x.
(x(-+)?) (x(-+)?)
Next, to get the last numbers we need to find what adds to be 8 and multiplies to be 7. Since 7 is a prime number, there is only one choice (1,7)
(x(-+)7) (x(-+)1)
Now choose the operation. In this case, 7+1=8 and 7*1=7 so we will use the + operation in both factors.
(x+7) (x+1)

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