This is equivalent to k^2 (1-k), which means k must be negative. k=-1 is too small: (-1)^2 - (-1)^3 = 1 - (-1) = 2. k=-3 is too big: (-3)^2 - (-3)^3 = 9 -(-27) = 36. Thus, for integer values of k, only -2 will work, and it does: (-2)^2 - (-2)^3 = 4 - (-8) = 12. From there, polynomial long division is much more efficient at identifying the remainder, and almost certainly expected for a "Stanford" admission question.
damn i did it completely differently, the equation equals to -(k+2)^3 +7(k+2)^2 -16(k+2) = 0 so first answer is -2 the other two you get from The roots of a quadratic equation just like you did
Bravo! I loved 😍
Great 👍. Thanks for the comments
Where are you watching from 💖?
Very good tutorial 🎉
Thank you! 😊
Very educative 😊
Thank you! 😃
Great tutorials
Thanks! ❤❤
Youre the teacher i wish i had at my classes 😪
Great 👍. Thanks for the comments
Where are you watching from 💖?
This is equivalent to k^2 (1-k), which means k must be negative. k=-1 is too small: (-1)^2 - (-1)^3 = 1 - (-1) = 2. k=-3 is too big: (-3)^2 - (-3)^3 = 9 -(-27) = 36. Thus, for integer values of k, only -2 will work, and it does: (-2)^2 - (-2)^3 = 4 - (-8) = 12. From there, polynomial long division is much more efficient at identifying the remainder, and almost certainly expected for a "Stanford" admission question.
Yes. Thanks for the comments 👍
Are you a maths teacher 💖?
@@Alamaths No, but I have been a math tutor for many years.
@@ZekeRaiden okay. That's fine.
Nice to meet you 😊
I convereted it to k^2 + |-k|^3 and it was self explanatory
Yes. Thanks for the comments 👍
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Nice one 🎉
Thanks 🔥
Thanks 🔥
🎉
Thanks bro😊
damn i did it completely differently,
the equation equals to -(k+2)^3 +7(k+2)^2 -16(k+2) = 0 so first answer is -2 the other two you get from The roots of a quadratic equation just like you did
Wow, thanks for the comments 👍
Are you a professor of maths 💖?
@@Alamaths lol no not even a student, ill take this compliment tho
@@יהונתןמימון-ח1ג thanks
K is -2
Thank you so much for the comments 👍 💗
-2?
Great 👍 Thanks for the comments
Where are you watching from 💖?
@@Alamaths Currently my study table.
Very good tutorial 🎉
Thanks❤