hello all, i was scanning my memory for some of the questions that were on my math exam, could you please confirm the following answers:
1.) is k^2 - 2k + 4 a factor of K^3 - 8? My answer: NO.
2.) For a solution to have two real and unequal solution, the discriminant should be? my answer: GREATER THAN 0
3.) Simplify (a-b)^2 - (a+b)^2. My answer: -4ab
4.) There are two decks of 52 playing cards, find the probability of obtaining a club or a king: my answer: 16/52 or 4/13.
5.) x^2 - 6x + 1 in turning point form has values of a,h and k as? my answer: a = 1, h = 3, k = 2.
6.) x^2 - 5x +2 factorised completely is? My answer: (x-5+root7/2) (x-5-root7/2)
thanks guys, i hope i did well
Jhevon pointed out your errors (and my work agrees), but I'll see if I can lead you on the right track:
The standard form is . To get the original equation in this form, we must complete the square. Ignore the constant term for now, and concentrate on the expression . We want to add a term to this that will give us a perfect square. If we consider expressions of the form , then the constant term that we need to add is . Why? Because a perfect square of the form , which gives .
So, we add to our expression to form a perfect square, and then we can factor:
So going back to our original equation, we find that
and .
This one is, in form, close enough to the actual solution that I might suspect a typo. If not, just go over your work once more as you probably just made a silly mistake somewhere.