"Prime", hm! Ok, let it be...
7)
I'm new to factoring. Don't really understand the definition of "prime". I did 47 questions in my homework, but I want to make sure if some are right or wrong.
I will answer the questions. Tell me if they are right/ wrong. If they are wrong, then tell me how. At least show me some type of work , so I understand.
1) P^4-49= (P^2+7)(P^2-7)
2) X^4-1 = (X^2+1)(X^2-1)
(X^2-1) can be factored into (X+1) (X-1).
Total answer: (X^2+1)(X+1)(X-1)
3) 100x^2+49= PRIME
4) K^2-18= PRIME
5) 81W^2+16= Prime
6) 6t^3-2= Prime
7) M^2-12= Prime
I think I have a problem with primes, because it seemed weird I had too many primes.
Help me , please
I get what you are saying. I need to square root them. For example, number 1 and 4 I can solve like this:
1) P^4-49= (P^2+7)(P^2-7)
(P+square root of 7) (P-square root of 7) (P^2+7)
4) K^2-18=
(K-3 square root of 2) (K+3 square root of 2)
I,however seriously have no idea on number 6.
(X^2+1)=(X+1)(X-1)
If you foil them, then you'll know they won't work.
X (multiplied by) X= X^2
X multiplied by -1=-x
1 multiplied by x= x
1 multiplied by -1= -1
X^2-x+x-1 = X^2+(-1) instead of what the formula says which is X^2+1
xivivx, please answer the question that was implied in allexmahone's response 4: What FIELD is this over? Complex numbers (in which , the real numbers, in which is prime but , or the rational numbers in which both of those are prime? I suspect the rational numbers but you really need to tell us that.