SOLUTION: Explain why x^2 + 5x + 8 is prime (not factorable). How do you know? Give 2 examples of a prime polynomial (they cannot both be binomials). Give 2 examples of polynomials that are
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-> SOLUTION: Explain why x^2 + 5x + 8 is prime (not factorable). How do you know? Give 2 examples of a prime polynomial (they cannot both be binomials). Give 2 examples of polynomials that are
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Question 306987: Explain why x^2 + 5x + 8 is prime (not factorable). How do you know? Give 2 examples of a prime polynomial (they cannot both be binomials). Give 2 examples of polynomials that are NOT prime (they cannot both be binomials), factor them, and explain what you did to factor them.
How would you explain to another student how to decide if any given polynomial is prime or not? Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! x^2 + 5x + 8
try to factor
1*8=8
we want factors of 8 which add up to 5
+ and -
8/1
4/2
2/4
1/8
there are no factors of 8 with add up to 5
The polynomial is prime.
x^2 + 6x + 8
find factors of 8 (see above) which add up to 6
(x+2)*(x+4)
