f(x) = x 4 21x 18 a. Show that there is a root of the

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f(x) = x4 − 21x − 18

a. Show that there is a root of the equation f(x) = 0 in the interval [−0.9, −0.8].

b. Find the coordinates of any stationary points on the graph y = f(x).

c. Given that f(x) = (x − 3)(x3 + ax+ bx + c), find the values of the constants a, b and c.

d. Sketch the graph of y = f(x).

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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