How do you divide polynomials? How do you do it with remainder?

I'll show you on a whiteboard or a piece of paper, there's a nice grid method you can use which is a lot easier (I think) than the weird long division way I got taught in school.

TD
Answered by Tutor115090 D. Maths tutor

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The curve C has equation y = 3x^4 – 8x^3 – 3 (a) Find (i) dy/dx (ii) d^2y/dx^2 (3 marks) (b) Verify that C has a stationary point when x = 2 (2marks) (c) Determine the nature of this stationary point, giving a reason for your answer. (2)


Given that y = 4x^3 -1 + 2x^1/2 (where x>0) find dy/dx.


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i) Simplify (2 * sqrt(7))^2 ii) Find the value of ((2 * sqrt(7))^2 + 8)/(3 + sqrt(7)) in the form m + n * sqrt(7) where n and m are integers.


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