360 Tutoring Program
*If you qualify, the Free 360 Tutoring Program will be extended to you at no extra charge.
On top of the tutor you are getting, ManyTutors will provide unlimited free tutors to help you with any questions you may have for other subjects. Just snap a photo of your homework, post, and someone will provide the solution for free.
You will get a complimentary premium account on Ask ManyTutors that allows you to ask English, Chinese, Malay, Math, Science, Geography and History homework questions free of charge.
Under the 360 Program, the tutor will receive a different rate from what you are paying to ManyTutors.
So strictly speaking,
When we are dividing 2x³ + 17x² + 123 by 2x² + x - 8 , we are dividing by 0. And division by 0 is undefined.
If I were the teacher I would mark this correct, but I'm not sure what the perspective of the student's marker/teacher will be.
Eg. Something along the lines of 187 × 0 = 0, but we can only say that 0/187 = 0 and not 187/0 = 0 or 0/0 = 187.
That's why I decided not to go with this approach, but the other one instead.
2x² + x - 8 = 0
2x² + x = 8 ①
2x² = 8 - x
Multiply both sides by x,
2x³ = 8x - x² ②
Then,
2x³ + 17x² + 123
= 8x - x² + 17x² + 123 (sub in ②)
= 16x² + 8x + 123
= 8(2x² + x) + 123
= 8(8) + 123 (sub in ①)
= 64 + 123
= 187
Eg. Divide 2x³ + 17x² + 123 by 2x² + x - 8 , where neither is equated to anything.
I also said if I were the marker, I would mark your working as right so of course I'm not against it.
Of course we all know long division is commonly used here.
So chill a bit yea.